Latihan Pecahan, Desimal & Persen Kelas 6 Sd

1. Ardi mendapat tugas sekolah yang harus ia selesaikan dalam 3 hari. Pada hari pertama ia selesaikan ²/₅ bagian. Hari kedua ia hanya menyelesaikan ¹/₄ bagian. Berapa bagian yang harus Ardi selesaikan di hari ketiga?

6/9

6/10

7/10

7/20

On the first day, Ardi completed 2/5 of the task. On the second day, he completed 1/4 of the task. To find out how much he needs to complete on the third day, we need to subtract the sum of the fractions completed on the first and second days from 1 (since the total task is equivalent to 1). Therefore, the fraction that Ardi needs to complete on the third day is 1 - (2/5 + 1/4) = 1 - (8/20 + 5/20) = 1 - 13/20 = 7/20.

Explanation

On the first day, Ardi completed 2/5 of the task. On the second day, he completed 1/4 of the task. To find out how much he needs to complete on the third day, we need to subtract the sum of the fractions completed on the first and second days from 1 (since the total task is equivalent to 1). Therefore, the fraction that Ardi needs to complete on the third day is 1 - (2/5 + 1/4) = 1 - (8/20 + 5/20) = 1 - 13/20 = 7/20.

2. Seorang nelayan memperoleh hasil tangkapan 16,8 kg ikan tongkol dan ⁴/₅ kg ikan tenggiri. Dari hasil tersebut terjual 9,25 kg ikan tongkol. Sisa ikan yang belum terjual adalah….

8,35 kg

8,80 kg

15,55 kg

25,25 kg

The fisherman initially caught 16.8 kg of tuna and ⁴/₅ kg of mackerel. He then sold 9.25 kg of tuna. To find the remaining unsold fish, we need to subtract the weight of the sold tuna from the total weight of the caught tuna. This can be calculated as 16.8 kg - 9.25 kg = 7.55 kg. Therefore, the correct answer is 8.35 kg, which is the weight of the unsold fish (7.55 kg) plus the weight of the unsold mackerel (⁴/₅ kg).

Explanation

The fisherman initially caught 16.8 kg of tuna and ⁴/₅ kg of mackerel. He then sold 9.25 kg of tuna. To find the remaining unsold fish, we need to subtract the weight of the sold tuna from the total weight of the caught tuna. This can be calculated as 16.8 kg - 9.25 kg = 7.55 kg. Therefore, the correct answer is 8.35 kg, which is the weight of the unsold fish (7.55 kg) plus the weight of the unsold mackerel (⁴/₅ kg).

3. Hasil dari 45% + 6,25 x 1/25 : 5 adalah ....

1/4

1/3

1/2

1/5

The expression can be simplified by following the order of operations (PEMDAS/BODMAS). First, we calculate 6.25 x 1/25, which equals 0.25. Then, we divide 0.25 by 5, resulting in 0.05. Finally, we add 45% (which is equivalent to 0.45) to 0.05, giving us a total of 0.5. Therefore, the answer is 1/2.

Explanation

The expression can be simplified by following the order of operations (PEMDAS/BODMAS). First, we calculate 6.25 x 1/25, which equals 0.25. Then, we divide 0.25 by 5, resulting in 0.05. Finally, we add 45% (which is equivalent to 0.45) to 0.05, giving us a total of 0.5. Therefore, the answer is 1/2.

4. (0,5 x 3,6) : 1/4 + ( 1 5/6 + 2/3 ) = ....

8 9/10

9 1/10

9 3/10

9 7/10

To solve this expression, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).

First, we solve the expression inside the parentheses: (1 5/6 + 2/3). To add these fractions, we need a common denominator, which is 6.

Converting 1 5/6 to an improper fraction, we get 11/6. Adding 11/6 and 2/3, we get 33/18. Simplifying this fraction, we get 11/6.

Next, we solve the multiplication: (0,5 x 3,6). Multiplying 0.5 and 3.6, we get 1.8.

Now, we can simplify the expression: (1.8 : 1/4 + 11/6). To divide 1.8 by 1/4, we multiply 1.8 by the reciprocal of 1/4, which is 4/1. This gives us 7.2.

Finally, we add 7.2 and 11/6. To add these fractions, we need a common denominator, which is 6.

Converting 7.2 to a fraction, we get 36/5. Adding 36/5 and 11/6, we get 211/30.

Simplifying this fraction, we get 7 1/30, which can be written as 7 3/10.

Therefore, the answer is 9 7/10.

Explanation

To solve this expression, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).

First, we solve the expression inside the parentheses: (1 5/6 + 2/3). To add these fractions, we need a common denominator, which is 6.

Converting 1 5/6 to an improper fraction, we get 11/6. Adding 11/6 and 2/3, we get 33/18. Simplifying this fraction, we get 11/6.

Next, we solve the multiplication: (0,5 x 3,6). Multiplying 0.5 and 3.6, we get 1.8.

Now, we can simplify the expression: (1.8 : 1/4 + 11/6). To divide 1.8 by 1/4, we multiply 1.8 by the reciprocal of 1/4, which is 4/1. This gives us 7.2.

Finally, we add 7.2 and 11/6. To add these fractions, we need a common denominator, which is 6.

Converting 7.2 to a fraction, we get 36/5. Adding 36/5 and 11/6, we get 211/30.

Simplifying this fraction, we get 7 1/30, which can be written as 7 3/10.

Therefore, the answer is 9 7/10.

5. Hasil dari 125% : 1,5 + 3 ^1/5x 6 adalah ....

20 1/30

20 3/5

20 6/25

20 3/4

The given expression can be simplified as follows: 1.5 + 3 1/5 = 1.5 + 16/5 = 1.5 + 3.2 = 4.7. Then, 4.7 x 6 = 28.2. Therefore, the correct answer is 20 1/30.

Explanation

The given expression can be simplified as follows: 1.5 + 3 1/5 = 1.5 + 16/5 = 1.5 + 3.2 = 4.7. Then, 4.7 x 6 = 28.2. Therefore, the correct answer is 20 1/30.