DIVIDING MIXED NUMBERS

Example 1 :

Find the quotient. Write in simplest form :

9 2/5 ÷ 1 1/3

Solution :

Convert the given mixed numbers to improper fractions.

9 2/5 = 37/5

1 1/3 = 4/3

9 2/5 ÷ 1 1/3 :

= 47/5 ÷ 4/3

Write the division as multiplication by taking reciprocal of the second fraction.

= 47/5 x 3/4

Multiply the numerators and denominators.

= (47 x 3)/(5 x 4)

= 141/20

141/20 is an improper fraction, convert it to mixed number.

=7 1/20

Example 2 :

Find the quotient. Write in simplest form :

6 1/2 ÷ 4 1/5

Solution :

Convert the given mixed numbers to improper fractions.

6 1/2 = 13/2

4 1/5 = 21/5

6 1/2 ÷ 4 1/5 :

= 13/2 ÷ 21/5

Write the division as multiplication by taking reciprocal of the second fraction.

= 13/2 x 5/21

Multiply the numerators and denominators.

= (13 x 5)/(2 x 21)

= 65/42

65/42 is an improper fraction, convert it to mixed number.

= 1 23/42

Example 3 :

Find the quotient. Write in simplest form :

3 1/10 ÷ 2 3/4

Solution :

Convert the given mixed numbers to improper fractions.

3 1/10 = 31/10

2 3/4 = 11/4

3 1/10 ÷ 2 3/4 :

= 31/10 ÷ 11/4

Write the division as multiplication by taking reciprocal of the second fraction.

= 31/10 x 4/11

Multiply the numerators and denominators.

= (31 x 4)/(10 x 11)

= 124/110

= 62/55

62/55 is an improper fraction, convert it to mixed number.

= 1 7/55

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.