Answer:

I. Division of a fraction by a WHOLE number:

For example:

(i) Divide 3/5 by 12

Solution:

3/5 ÷ 12

= 3/5 ÷ 12/1

= 3/5 × 1/12

= (3 × 1)/(5 × 12)

= 3/60

= 1/20

Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.

Step II: EXPRESS the PRODUCT in its lowest terms.

(ii)  Solve: 5/7 ÷ 10

= 5/7 ÷ 10/1

= 5/7 × 1/10

= (5 × 1)/(7 × 10)

= 5/70

Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.

Step II: Express the product in its lowest terms.

II. Division of a fractional number by a fractional number:

For example:

(i) Divide 7/8 by 1/5

Solution:

7/8 ÷ 1/5

= 7/8 × 5/1

= (7 × 5)/(8 × 1)

= 35/8

= 4 3/8

Step I: Find reciprocal of 1/5.

Step II: Multiply 7/8 by it.

Step III: Express the product in its simplest FORM.

(ii) Divide: 5/9 ÷ 10/18

Solution:

5/9 ÷ 10/18

= 5/9 × 18/10

= (5 × 18)/(9 × 10)

= 90/90

= 1

Step I: Find reciprocal of 1/5.

Step II: Multiply 7/8 by it.

Step III: Express the product in its simplest form.

III. Division of a mixed number by another mixed number:

For example:

(i) Divide 2 ¾ by 1 2/3

Solution:

2 ¾ ÷ 1 2/3

= 11/4 ÷ 5/3

= 11/4 × 3/5

= (11 × 3)/(4 × 5)

= 33/20

= 1 13/20

Express the mixed numbers as improper fractions and multiply as usual.

(ii) Divide: 2  4/17 ÷ 1  4/17

Solution:

2  4/17 ÷ 1  4/17

= 38/17 ÷ 21/17

= 38/17 × 17/21

= (38 × 17)/(17 × 21)

= 646/357

= 38/21

= 1 17/21

Step-by-step explanation: