Comparing And Simplifying Fractions: Quiz

1) Which fraction is equivalent to 5/6?

5/12

10/6

10/12

The fraction 10/12 is equivalent to 5/6 because both fractions represent the same value. To find an equivalent fraction, we can multiply or divide both the numerator and the denominator by the same number. In this case, we can multiply 5 by 2 and 6 by 2 to get 10/12. Therefore, 10/12 is equivalent to 5/6.

Explanation

The fraction 10/12 is equivalent to 5/6 because both fractions represent the same value. To find an equivalent fraction, we can multiply or divide both the numerator and the denominator by the same number. In this case, we can multiply 5 by 2 and 6 by 2 to get 10/12. Therefore, 10/12 is equivalent to 5/6.

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3) Add & Simplify 7/9 + 2/9 =

The given question asks to add the fractions 7/9 and 2/9. Since the denominators of both fractions are the same, we can simply add the numerators to get the result. Therefore, 7/9 + 2/9 equals 9/9, which can be simplified to 1.

Explanation

The given question asks to add the fractions 7/9 and 2/9. Since the denominators of both fractions are the same, we can simply add the numerators to get the result. Therefore, 7/9 + 2/9 equals 9/9, which can be simplified to 1.

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4) Joe has 2/5 of an apple pie. Susie has 1/3 of a cherry pie. Who has the greatest amount?

Joe has the greatest amount because 2/5 is a larger fraction than 1/3.

Explanation

Joe has the greatest amount because 2/5 is a larger fraction than 1/3.

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6) Find the fraction equivalent to 2/3

6/9

14/21

Both

Both 6/9 and 14/21 are equivalent fractions to 2/3. To find equivalent fractions, we can multiply or divide both the numerator and denominator by the same non-zero number. In this case, we can multiply 2/3 by 2 to get 4/6, and then multiply again by 3 to get 6/9. Similarly, we can multiply 2/3 by 7 to get 14/21. Therefore, both 6/9 and 14/21 are equivalent fractions to 2/3.

Explanation

Both 6/9 and 14/21 are equivalent fractions to 2/3. To find equivalent fractions, we can multiply or divide both the numerator and denominator by the same non-zero number. In this case, we can multiply 2/3 by 2 to get 4/6, and then multiply again by 3 to get 6/9. Similarly, we can multiply 2/3 by 7 to get 14/21. Therefore, both 6/9 and 14/21 are equivalent fractions to 2/3.

7) Compare 3/4 3/8

The fraction 3/4 is greater than the fraction 3/8. This is because the numerator (3) is the same in both fractions, but the denominator (4) is greater than the denominator (8). Since the denominator represents the number of equal parts the whole is divided into, a larger denominator means each part is smaller. Therefore, the fraction with the larger denominator has smaller parts and is greater in value.

Explanation

The fraction 3/4 is greater than the fraction 3/8. This is because the numerator (3) is the same in both fractions, but the denominator (4) is greater than the denominator (8). Since the denominator represents the number of equal parts the whole is divided into, a larger denominator means each part is smaller. Therefore, the fraction with the larger denominator has smaller parts and is greater in value.

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8) Compare: 3/4 5/6

The fraction 3/4 is smaller than the fraction 5/6. This can be determined by comparing the numerators (3 and 5) and denominators (4 and 6) of the fractions. In this case, the numerator of the first fraction is smaller than the numerator of the second fraction, while the denominators are the same. Therefore, the first fraction is smaller than the second fraction.

Explanation

The fraction 3/4 is smaller than the fraction 5/6. This can be determined by comparing the numerators (3 and 5) and denominators (4 and 6) of the fractions. In this case, the numerator of the first fraction is smaller than the numerator of the second fraction, while the denominators are the same. Therefore, the first fraction is smaller than the second fraction.

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9) Simplify There are 24 students in Mrs. Nantz's class. Six of the students walk to school every day. What fraction of the students do not walk to school;?write in simplest form.

To find the fraction of students who do not walk to school, we need to subtract the fraction of students who walk to school from 1 (since all the students fall into either of the two categories - walking or not walking). Since 6 out of 24 students walk to school, the fraction of students who walk is 6/24. Subtracting this from 1, we get 18/24. Simplifying this fraction, we get 3/4. Therefore, 3/4 is the fraction of students who do not walk to school.

Explanation

To find the fraction of students who do not walk to school, we need to subtract the fraction of students who walk to school from 1 (since all the students fall into either of the two categories - walking or not walking). Since 6 out of 24 students walk to school, the fraction of students who walk is 6/24. Subtracting this from 1, we get 18/24. Simplifying this fraction, we get 3/4. Therefore, 3/4 is the fraction of students who do not walk to school.

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10) At Mayfest Cookoff, 6/12 of the dishes were cooked by boys, girls cooked 5/12, and girls cooked 1/12. What fraction of the dishes were cooked by kids?

The fraction of dishes cooked by boys is 6/12, which simplifies to 1/2. The fraction of dishes cooked by girls is 5/12. Adding these fractions together gives a total of 6/12 + 5/12 = 11/12. Therefore, 11/12 of the dishes were cooked by kids.

Explanation

The fraction of dishes cooked by boys is 6/12, which simplifies to 1/2. The fraction of dishes cooked by girls is 5/12. Adding these fractions together gives a total of 6/12 + 5/12 = 11/12. Therefore, 11/12 of the dishes were cooked by kids.

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