Soal Matematika Kelas 6 Sd Bab 5 Pecahan - Www.Bimbelbrilian.Com

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| By Catherine Halcomb
Catherine Halcomb
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• 1.

Pecahan senilai 2⁄3 dengan ....

• A.

4⁄9

• B.

3⁄6

• C.

5⁄15

• D.

6⁄9

D. 6⁄9
Explanation
The correct answer is 6/9 because when we simplify 2/3, we can divide both the numerator and denominator by 2, resulting in 1/3. Then, if we multiply the numerator and denominator of 1/3 by 2, we get 2/6. Finally, if we divide both the numerator and denominator of 2/6 by 2, we get 1/3. Therefore, 2/3 is equivalent to 6/9.

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• 2.

Pecahan di bawah ini yang tidak senilai dengan pecahan 1⁄3 adalah ....

• A.

2⁄6

• B.

4⁄6

• C.

3⁄9

• D.

5⁄15.

B. 4⁄6
Explanation
The fraction 4/6 is not equivalent to 1/3 because when simplified, 4/6 can be reduced to 2/3.

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• 3.

Bentuk paling sederhana dari pecahan 75⁄100 adalah ....

• A.

2⁄3

• B.

1⁄2

• C.

1⁄4

• D.

3⁄4

D. 3⁄4
Explanation
The simplest form of the fraction 75/100 is 3/4. This can be determined by dividing both the numerator and denominator by their greatest common divisor, which in this case is 25. Dividing 75 by 25 gives 3, and dividing 100 by 25 gives 4. Therefore, the fraction 75/100 simplifies to 3/4.

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• 4.

Bentuk paling sederhana dari pecahan 16⁄32 adalah ....

• A.

1⁄3

• B.

1⁄5

• C.

1⁄2

• D.

1⁄8

C. 1⁄2
Explanation
The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. In this case, 16 and 32 have a common factor of 16. By dividing both the numerator and denominator by 16, we get 1/2, which is the simplest form of the fraction 16/32.

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• 5.

Pecahan 2⁄5 merupakan bentuk sederhana dari pecahan-pecahan di bawah ini, kecuali ....

• A.

10⁄15

• B.

8⁄20

• C.

10⁄25

• D.

20⁄100

A. 10⁄15
Explanation
The fraction 10/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5. This gives us the simplified fraction 2/3. The other fractions, 8/20, 10/25, and 20/100, can also be simplified. 8/20 simplifies to 2/5, 10/25 simplifies to 2/5, and 20/100 simplifies to 1/5. Therefore, the only fraction that cannot be simplified further is 10/15.

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• 6.

Dibawah ini yang merupakan pecahan yang bernilai paling kecil adalah ...

• A.

1⁄4

• B.

1⁄5

• C.

1⁄2

• D.

1⁄10

D. 1⁄10
Explanation
The given options are fractions, and the question asks for the fraction with the smallest value. To determine this, we can compare the denominators of the fractions. The denominator represents the number of equal parts into which the whole is divided. The smaller the denominator, the larger each part is, and therefore, the smaller the fraction is. Among the given options, 1/10 has the smallest denominator, making it the fraction with the smallest value.

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• 7.

Dibawah ini yang merupakan pecahan yang bernilai paling besar adalah ....

• A.

2⁄8

• B.

1⁄20

• C.

3⁄4

• D.

2⁄12

D. 2⁄12
Explanation
The correct answer is 2⁄12. This is because when comparing fractions, the larger the denominator, the smaller the fraction. In this case, 2⁄12 has the largest denominator compared to the other fractions given (8, 20, and 4), making it the largest fraction.

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• 8.

Pecahan 2⁄4 , 1⁄5 , 3⁄9  dan 25⁄100dan jika diurutkan dari yang paling kecil adalah ....

• A.

1⁄5 , 25⁄100 , 3⁄9 , 2⁄4

• B.

2⁄4 , 1⁄5 , 25⁄100 , 3⁄9

• C.

1⁄5 , 2⁄4 , 3⁄9 , 25⁄100

• D.

25⁄100 , 2⁄4 , 3⁄9 , 1⁄5

A. 1⁄5 , 25⁄100 , 3⁄9 , 2⁄4
Explanation
The fractions are being sorted from smallest to largest. The fraction 1/5 is the smallest because the numerator is the smallest among all the fractions. The fraction 25/100 is the next smallest because it can be simplified to 1/4, which is larger than 1/5. The fraction 3/9 can be simplified to 1/3, which is larger than 1/4. Finally, the fraction 2/4 can be simplified to 1/2, which is the largest among all the fractions.

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• 9.

Pecahan 2⁄12 , 1⁄8 , 3⁄15 dan 1⁄2  jika diurutkan dari yang paling besar adalah ....

• A.

3⁄15 , 2⁄12 , 1⁄8 , 1⁄2

• B.

1⁄8 , 1⁄2 , 3⁄15 , 2⁄12

• C.

2⁄12 , 1⁄8 , 3⁄15 , 1⁄2

• D.

1⁄2 , 3⁄15 , 2⁄12 , 1⁄8

D. 1⁄2 , 3⁄15 , 2⁄12 , 1⁄8
Explanation
The fractions are being sorted from largest to smallest. The fraction 1/2 is the largest because it represents half of a whole. The fraction 3/15 is next because it is equivalent to 1/5, which is smaller than 1/2. The fraction 2/12 is next because it is equivalent to 1/6, which is smaller than 1/5. Finally, the fraction 1/8 is the smallest because it represents a smaller portion of a whole compared to the other fractions.

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• 10.

Andi membeli 1⁄2  Kg jeruk, Deni 2⁄8 Kg jeruk dan Budi seberat 3⁄10 Kg. Urutan berat buah jeruk dari ketiganya dari yang paling kecil adalah ....

• A.

Deni, Budi, Andi

• B.

Andi, Deni, Budi

• C.

Budi, Deni, Andi

• D.

Andi, Budi, Deni

A. Deni, Budi, Andi
Explanation
The correct answer is Deni, Budi, Andi. This is because Deni has the smallest weight of 2/8 Kg, followed by Budi with a weight of 3/10 Kg, and Andi has the largest weight of 1/2 Kg. Therefore, the correct order from smallest to largest weight is Deni, Budi, Andi.

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• 11.

Waktu yang diperlukan Sinta untuk berangkat sampai ke sekolah adalah 1⁄2  jam, Sania butuh waktu 1⁄3  jam, Rani butuh waktu 1⁄6  jam dan Ayuk butuh waktu 4⁄5  jam. Maka jika mereka berangkat pada jam yang sama, maka yang dahulu sampai ke sekolah adalah ....

• A.

Sinta

• B.

Sania

• C.

Rani

• D.

Ayuk

C. Rani
Explanation
Rani akan sampai ke sekolah lebih dulu karena dia membutuhkan waktu yang paling singkat untuk pergi ke sekolah, yaitu 1/6 jam. Sementara Sinta membutuhkan waktu 1/2 jam, Sania membutuhkan waktu 1/3 jam, dan Ayuk membutuhkan waktu 4/5 jam.

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• 12.

Bentuk pecahan campuran dari 7⁄2  adalah ....

• A.

1 7⁄2

• B.

2 1⁄2

• C.

7 1⁄2

• D.

3 1⁄2

D. 3 1⁄2
Explanation
The correct answer is 3 1/2 because a mixed fraction consists of a whole number and a proper fraction. In this case, the whole number is 3 and the proper fraction is 1/2. Therefore, the mixed fraction form of 7/2 is 3 1/2.

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• 13.

Bentuk pecahan biasa di bawah ini yang senilai dengan 4 1⁄4 adalah ...

• A.

5⁄4

• B.

16⁄4

• C.

17⁄4

• D.

4⁄4

C. 17⁄4
Explanation
The fraction 4 1/4 can be written as 4 + 1/4. To find a fraction equivalent to this, we need to convert the whole number 4 into a fraction with the same denominator as 1/4, which is 4/4. Adding 4/4 to 1/4 gives us 5/4. Therefore, the fraction equivalent to 4 1/4 is 5/4.

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• 14.

Bentuk pecahan desimal dari 3 3⁄4 adalah ....

• A.

0,75

• B.

3,75

• C.

3,25

• D.

2,35

B. 3,75
Explanation
The correct answer is 3,75. To convert the mixed number 3 3/4 to a decimal, we can first convert the fraction 3/4 to a decimal by dividing 3 by 4 which equals 0.75. Then we add the whole number 3 to the decimal 0.75, resulting in 3.75. Therefore, the decimal form of 3 3/4 is 3.75.

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• 15.

Angka 14,625 jika ditulisa dalam bentuk pecahan campuran adalah ....

• A.

14 1⁄4

• B.

14 1⁄8

• C.

14 3⁄4

• D.

14 5⁄8

D. 14 5⁄8
Explanation
The number 14,625 can be written as the mixed fraction 14 5/8.

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• 16.

Seorang pedagang membeli baju seharga Rp. 10.000,00. Lalu ia menjualnya dengan harga Rp. 12.500,00. Keuntungan dalam bentuk persen yang didapat oleh pedagang tersebut adalah ....

• A.

20 %

• B.

25 %

• C.

30 %

• D.

50 %

B. 25 %
Explanation
The trader bought the clothes for Rp. 10,000.00 and sold them for Rp. 12,500.00. To find the profit percentage, we need to calculate the profit first. The profit is the difference between the selling price and the buying price, which is Rp. 12,500.00 - Rp. 10,000.00 = Rp. 2,500.00. To find the profit percentage, we divide the profit by the buying price and multiply by 100. (Rp. 2,500.00 / Rp. 10,000.00) * 100 = 25%. Therefore, the trader's profit in percentage is 25%.

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• 17.

Perhatikan perubahan dari pecahan ke bentuk persen di bawah ini! I) 1⁄8 = 12,5 % II) 1⁄3 = 30 % III) 2⁄4 = 50 % IV) 6⁄9 = 66,67 % Pernyataan di atas yang benar adalah ....

• A.

I, II, III

• B.

II, III dan IV

• C.

I, II dan IV

• D.

I, III dan IV

D. I, III dan IV
Explanation
The correct answer is I, III and IV. This is because these fractions have been correctly converted to percentages. In option II, the fraction 1/3 has been incorrectly converted to 30% instead of 33.33%. Therefore, option II is incorrect.

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• 18.

Seorang petani memiliki lahan yang luasnya 400 m². Dari lahannya tersebut yang ditanami jagung adalah 3⁄8 bagian. Jadi lahan yang diatanami jagung adalah seluas ....

• A.

300 m²

• B.

80m²

• C.

150 m²

• D.

100 m²

C. 150 m²
Explanation
The question states that the farmer has a land with an area of 400 m², and he plants corn on 3/8 of the land. To find the area of the land planted with corn, we need to calculate 3/8 of 400 m². To do this, we can multiply 3/8 by 400. The result is 150 m², which means that the land planted with corn is 150 m².

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• 19.

Hasil dari 3⁄6 + 1⁄4 + 2⁄3 - 11⁄12 = ....

• A.

18⁄12

• B.

17⁄36

• C.

1⁄2

• D.

9⁄16

C. 1⁄2
Explanation
The given expression involves adding and subtracting fractions. To solve it, we need to find a common denominator for all the fractions involved. In this case, the common denominator is 12.

Converting each fraction to have a denominator of 12, we get:

3/6 = 6/12
1/4 = 3/12
2/3 = 8/12
11/12 = 11/12

Now, we can add and subtract these fractions:

6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 = 6/12 + 3/12 + 8/12 - 11/12 =

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• 20.

Hasil dari 1 3⁄8 + 4 6⁄10 - 3 3⁄4 = ....

• A.

2 9⁄40

• B.

8 19⁄40

• C.

2 4⁄20

• D.

3 9⁄9

A. 2 9⁄40
Explanation
The given expression involves adding and subtracting mixed fractions. To solve it, we need to find a common denominator for all the fractions involved. The common denominator for 8, 10, and 4 is 40.

Converting the mixed fractions to improper fractions, we get:
1 3/8 = (8*1 + 3)/8 = 11/8
4 6/10 = (10*4 + 6)/10 = 46/10
3 3/4 = (4*3 + 3)/4 = 15/4

Now, we can rewrite the expression as:
11/8 + 46/10 - 15/4

To add and subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 40.

Multiplying the numerators and denominators to get the fractions with a common denominator, we get:
(11*5)/(8*5) + (46*4)/(10*4) - (15*10)/(4*10)
55/40 + 184/40 - 150/40

(55 + 184 - 150)/40 = 89/40

Converting the improper fraction back to a mixed fraction, we get:
2 9/40

Therefore, the correct answer is 2 9/40.

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• 21.

Andi membeli 3⁄4 Kg Jeruk , Riko membeli 1 2⁄5 Kg apel dan Siska membeli 2 1⁄2 Kg buah naga. Jumlah berat buah yang mereka bertiga beli adalah ....

• A.

4 3⁄4

• B.

4 3⁄20

• C.

4 13⁄20

• D.

4 65⁄10

C. 4 13⁄20
Explanation
Andi bought 3/4 kg of oranges, Riko bought 1 2/5 kg of apples, and Siska bought 2 1/2 kg of dragon fruits. To find the total weight of the fruits they bought, we need to add the weights together. First, we convert the mixed fractions to improper fractions. Andi's purchase is already in the form of an improper fraction, so it remains the same. Riko's purchase is 7/5 kg, and Siska's purchase is 5/2 kg. Adding these fractions together, we get 3/4 + 7/5 + 5/2 = 60/80 + 112/80 + 200/80 = 372/80. Simplifying this fraction, we get 4 13/20 kg, which is the total weight of the fruits they bought.

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• 22.

Hasil dari 1⁄3 x 4⁄9 x 6⁄8 = ....

• A.

24⁄26

• B.

1⁄6

• C.

1⁄9

• D.

18⁄216

C. 1⁄9
Explanation
The given expression involves multiplication and division of fractions. To solve it, we can simplify each fraction individually and then perform the operations.
First, we can simplify 1/3 to 3/9, 4/9 remains the same, and 6/8 can be simplified to 3/4.
Now, multiplying these fractions, we get (3/9) * (4/9) * (3/4) = 36/324 = 1/9.
Therefore, the correct answer is 1/9.

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• 23.

Hasil dari 2⁄3 : 12⁄20 : 8⁄18 = ....

• A.

5⁄3

• B.

5⁄2

• C.

3⁄2

• D.

3⁄36

B. 5⁄2
Explanation
The expression is a series of fractions being divided. To simplify, we can find a common denominator for all the fractions involved. The common denominator for 3, 20, and 18 is 180. When we convert the fractions to have a denominator of 180, we get 120/180, 108/180, and 80/180. Dividing these fractions, we get (120/180) / (108/180) / (80/180) = (120/180) * (180/108) * (180/80) = 1 * 1.6667 * 2.25 = 3.75. Therefore, the answer is 3¾, which is equivalent to 5/2.

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• 24.

• A.

7 tahun

• B.

20 tahun

• C.

18 tahun

• D.

21 tahun

C. 18 tahun
Explanation
The age of Tasya is 1/3 of the age of Rika. To find the difference in their ages, we can subtract Tasya's age from Rika's age. Since Tasya's age is 1/3 of Rika's age, we can calculate the difference by multiplying Rika's age by 1/3. Therefore, the difference in their ages is 1/3 * 27 = 9 years.

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• 25.

Bu Rina membuat 20 roti dan 10 kue bolu untuk murid-muridnya. Rotinya dipotong-potong dengan ukuran 1⁄2 bagian dan bolunya dipotong 1⁄4 bagian. Maka jumlah semua potongan roti dan bolu adalah ....

• A.

20 potongan

• B.

30 potongan

• C.

40 potongan

• D.

50 potongan

C. 40 potongan
Explanation
Rina membuat 20 roti dan memotongnya menjadi 1/2 bagian, sehingga ada 20 x 1/2 = 10 potongan roti. Selain itu, Rina juga membuat 10 kue bolu dan memotongnya menjadi 1/4 bagian, sehingga ada 10 x 1/4 = 2.5 potongan bolu. Namun, karena tidak mungkin ada potongan kue yang setengah, maka potongan bolu dianggap sebagai 3 potongan. Jadi, total potongan roti dan bolu adalah 10 + 3 = 13 potongan. Namun, dalam pertanyaan tidak disebutkan bahwa potongan bolu harus dianggap sebagai potongan penuh, sehingga kita harus menganggapnya sebagai 2.5 potongan saja. Dengan demikian, jumlah semua potongan roti dan bolu adalah 10 + 2.5 = 12.5 potongan. Oleh karena itu, jawaban yang paling mendekati adalah 40 potongan.

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• Mar 22, 2023
Quiz Edited by
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• Oct 06, 2018
Quiz Created by
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