Fractions Greater Or Less Than Trivia Quiz

1. Write 31/8 as a mixed number.

4

4 7/8

3 1/8

3 7/8

To convert a fraction to a mixed number, divide the numerator by the denominator. In this case, 31 divided by 8 equals 3 with a remainder of 7. Therefore, the mixed number is 3 7/8.

Explanation

To convert a fraction to a mixed number, divide the numerator by the denominator. In this case, 31 divided by 8 equals 3 with a remainder of 7. Therefore, the mixed number is 3 7/8.

2. 5 ÷ 1/7 =

5/7

6/7

1/35

35

When dividing a number by a fraction, we can multiply the number by the reciprocal of the fraction to obtain the result. In this case, we divide 5 by 1/7, which is the same as multiplying 5 by 7/1. Multiplying 5 by 7 gives us 35, so the correct answer is 35.

Explanation

When dividing a number by a fraction, we can multiply the number by the reciprocal of the fraction to obtain the result. In this case, we divide 5 by 1/7, which is the same as multiplying 5 by 7/1. Multiplying 5 by 7 gives us 35, so the correct answer is 35.

3. To have a + 1 3/4 = 2, a must be equal to

1

3/4

1/2

1/4

In order for the equation "a + 1 3/4 = 2" to be true, the value of "a" must be equal to 1/4.

Explanation

In order for the equation "a + 1 3/4 = 2" to be true, the value of "a" must be equal to 1/4.

4. 5/2 ÷ 3/4 =

10/3

10/8

13/4

1

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we have (5/2) ÷ (3/4), which is the same as (5/2) * (4/3). Multiplying the numerators (5 * 4) gives us 20, and multiplying the denominators (2 * 3) gives us 6. Therefore, the result is 20/6, which simplifies to 10/3. However, the given answer is 1, which is incorrect.

Explanation

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we have (5/2) ÷ (3/4), which is the same as (5/2) * (4/3). Multiplying the numerators (5 * 4) gives us 20, and multiplying the denominators (2 * 3) gives us 6. Therefore, the result is 20/6, which simplifies to 10/3. However, the given answer is 1, which is incorrect.

5. Which two fractions are equivalent?

5/2 and 2/5

4/3 and 8/6

1/4 and 2/4

2/3 and 1/3

The fractions 4/3 and 8/6 are equivalent because when you simplify 8/6 by dividing both the numerator and the denominator by their greatest common divisor (2), you get 4/3.

8/6 ÷ 2/2 = 4/3

Explanation

The fractions 4/3 and 8/6 are equivalent because when you simplify 8/6 by dividing both the numerator and the denominator by their greatest common divisor (2), you get 4/3.

8/6 ÷ 2/2 = 4/3

6. 3 1/2 + 5 1/3 =

8

8 2/5

8 5/6

2/5

Explanation

7. Write 2 1/3 as a fraction

2/3

7/3

1/3

6

The given question asks to write 2 1/3 as a fraction. To do this, we need to convert the mixed number 2 1/3 into an improper fraction. To convert the whole number 2 into a fraction, we multiply it by the denominator of the fraction, which is 3. This gives us 6/3. Adding the numerator 1 to this fraction, we get 7/3. Therefore, 2 1/3 can be written as the fraction 7/3.

Explanation

The given question asks to write 2 1/3 as a fraction. To do this, we need to convert the mixed number 2 1/3 into an improper fraction. To convert the whole number 2 into a fraction, we multiply it by the denominator of the fraction, which is 3. This gives us 6/3. Adding the numerator 1 to this fraction, we get 7/3. Therefore, 2 1/3 can be written as the fraction 7/3.

8. Which of the following fractions is greater than 1/2?

1/3

3/5

9/20

1/4

2/6

The fraction 3/5 is greater than 1/2 because when comparing fractions, we can cross-multiply. When we cross-multiply 1/2 and 3/5, we get 5/10 and 6/10 respectively. Since 6/10 is greater than 5/10, 3/5 is greater than 1/2.

Explanation

The fraction 3/5 is greater than 1/2 because when comparing fractions, we can cross-multiply. When we cross-multiply 1/2 and 3/5, we get 5/10 and 6/10 respectively. Since 6/10 is greater than 5/10, 3/5 is greater than 1/2.

9. 2/5 x 3/7 =

14/15

6/35

35/6

15/14

To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 2/5 by 3/7 gives us (2 x 3) / (5 x 7), which simplifies to 6/35. Therefore, the correct answer is 6/35.

Explanation

To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 2/5 by 3/7 gives us (2 x 3) / (5 x 7), which simplifies to 6/35. Therefore, the correct answer is 6/35.

10. Write 2/3 of 4 as a mixed number.

4 2/3

2/3

2 2/3

2

To write 2/3 of 4 as a mixed number, we need to find two-thirds of 4. Two-thirds of 4 is equal to 8/3. A mixed number consists of a whole number and a fraction. Since 8/3 is greater than 2, we can write it as a mixed number. The whole number is 2, and the fraction is 2/3. Therefore, the correct answer is 2 2/3.

Explanation

To write 2/3 of 4 as a mixed number, we need to find two-thirds of 4. Two-thirds of 4 is equal to 8/3. A mixed number consists of a whole number and a fraction. Since 8/3 is greater than 2, we can write it as a mixed number. The whole number is 2, and the fraction is 2/3. Therefore, the correct answer is 2 2/3.