Fraction Math Quiz

1. Change

19 over 4

to a mixed number.

4 and 3/4

1 and 9/4

9 and 1/4

4/9

The mixed number representation of 19/4 is obtained by dividing the numerator (19) by the denominator (4).

19÷4=4 with a remainder of 3

So, the mixed number is 4 3/4.

Explanation

The mixed number representation of 19/4 is obtained by dividing the numerator (19) by the denominator (4).

19÷4=4 with a remainder of 3

So, the mixed number is 4 3/4.

2. Change

5 space 7 over 8

to an improper fraction.

40/7

47/8

13/7

42/8

To change a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 4, the denominator is 8, and the numerator is 7. Multiplying 4 by 8 gives us 32, and adding 7 gives us 39. Therefore, the improper fraction equivalent of 40/7 is 39/8.

Explanation

To change a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 4, the denominator is 8, and the numerator is 7. Multiplying 4 by 8 gives us 32, and adding 7 gives us 39. Therefore, the improper fraction equivalent of 40/7 is 39/8.

3. Change

11 space 1 fourth

to an improper fraction.

45/4

16/4

25/4

44/4

To change a mixed number to an improper fraction, we need to multiply the whole number by the denominator and add the numerator. In this case, the whole number is 11 (since 45 divided by 4 equals 11 with a remainder of 1), the denominator is 4, and the numerator is 1. Therefore, the improper fraction is 45/4.

Explanation

To change a mixed number to an improper fraction, we need to multiply the whole number by the denominator and add the numerator. In this case, the whole number is 11 (since 45 divided by 4 equals 11 with a remainder of 1), the denominator is 4, and the numerator is 1. Therefore, the improper fraction is 45/4.

4. Change

26 over 3

to a mixed number.

2 and 6/3

4 and 1/4

8 and 2/3

6 and 1/3

To convert the improper fraction 26/3 into a mixed number, you need to divide the numerator (26) by the denominator (3). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. Here's how you do it:

26 ÷ 3 = 8 with a remainder of 2

So, the mixed number is:

8 2/3

Explanation

To convert the improper fraction 26/3 into a mixed number, you need to divide the numerator (26) by the denominator (3). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. Here's how you do it:

26 ÷ 3 = 8 with a remainder of 2

So, the mixed number is:

8 2/3

5. One cookie recipe calls for

2 space 1 fourth

cups of flour. Another recipe calls for

3 space 2 over 4

cups of flour. How many cups of flour would be needed for both recipes?

4

5 and 1/4

5

5 and 3/4

The correct answer is 5 and 3/4. To find the total amount of flour needed for both recipes, we add the amount of flour required in each recipe. Since one recipe calls for 4 cups of flour and the other recipe calls for 1 and 3/4 cups of flour, the total amount of flour needed for both recipes is 5 and 3/4 cups.

Explanation

The correct answer is 5 and 3/4. To find the total amount of flour needed for both recipes, we add the amount of flour required in each recipe. Since one recipe calls for 4 cups of flour and the other recipe calls for 1 and 3/4 cups of flour, the total amount of flour needed for both recipes is 5 and 3/4 cups.

6. Jill ran

1 space 1 third

mile on Monday and

2 space 2 over 3

miles on Tuesday. How many miles did she run altogether?

5 miles

4 miles

4 and 1/2 miles

3 miles

Jill ran 1 1/3 mile on Monday and 2 2/3 miles on Tuesday. To find the total distance she ran, we add these two distances together. 1 1/3 + 2 2/3 = 1+2+1/3+2/3 = 4 miles. Therefore, Jill ran a total of 4 miles altogether.

Explanation

Jill ran 1 1/3 mile on Monday and 2 2/3 miles on Tuesday. To find the total distance she ran, we add these two distances together. 1 1/3 + 2 2/3 = 1+2+1/3+2/3 = 4 miles. Therefore, Jill ran a total of 4 miles altogether.

7. $4 space 4 over 5 space plus space space 2 space 3 over 5 space equals$ ?

6 and 4/5

7 and 2/5

7 and 1/5

6 and 3/5

The correct answer is 7 and 2/5 because when we add 4 and 4/5 to 2 and 3/5, we get a sum of 37/5 which can be simplified to the mixed fraction 7 and 2/5.

Explanation

The correct answer is 7 and 2/5 because when we add 4 and 4/5 to 2 and 3/5, we get a sum of 37/5 which can be simplified to the mixed fraction 7 and 2/5.

8. Add:

1 third space plus space space 4 over 5

5/8

1 2/15

1 and 3/5

4/15

To add fractions, they must have the same denominator (the bottom number).

Find the least common denominator (LCD): The LCD of 3 and 5 is 15.

Convert the fractions:

Multiply the numerator and denominator of 1/3 by 5 to get 5/15.

Multiply the numerator and denominator of 4/5 by 3 to get 12/15.

Add the fractions: 5/15 + 12/15 = 17/15

Simplify if possible: 17/15 can be written as a mixed number, 1 2/15

Therefore, 1/3 + 4/5 = 1 2/15

Explanation

To add fractions, they must have the same denominator (the bottom number).

Find the least common denominator (LCD): The LCD of 3 and 5 is 15.

Convert the fractions:

Multiply the numerator and denominator of 1/3 by 5 to get 5/15.

Multiply the numerator and denominator of 4/5 by 3 to get 12/15.

Add the fractions: 5/15 + 12/15 = 17/15

Simplify if possible: 17/15 can be written as a mixed number, 1 2/15

Therefore, 1/3 + 4/5 = 1 2/15

9. Solve this:

fraction numerator 5 over denominator 6 space end fraction space minus space space fraction numerator 3 over denominator 8 space end fraction

2/8

12/20

11/24

9/24

Explanation

10. Match each fraction with its decimal equivalent:

1/2

1/4

2/5

3/4

4/5

Submit

11. $3 space 5 over 9 space plus space space 7 space 7 over 9 space equals space$

11 and 1/3

10 and 1/2

10 and 12/19

11 and 6/9

3 5/9 + 7 7/9=102/9

To express 102/9 as a mixed fraction, you can divide 102 by 9, which equals 11 with a remainder of 3. Therefore, the mixed fraction is:

11 3/9

However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

11 3/9 = 11 1/3

So, 102/9 as a mixed fraction is 11 1/3.

Explanation

3 5/9 + 7 7/9=102/9

To express 102/9 as a mixed fraction, you can divide 102 by 9, which equals 11 with a remainder of 3. Therefore, the mixed fraction is:

11 3/9

However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

11 3/9 = 11 1/3

So, 102/9 as a mixed fraction is 11 1/3.