Properties of Fractional Division

Properties of fractional division are discussed here:

Property 1: When a fractional number is divided by 1, the quotient is the fractional number itself.

For Example:

1. 2/3 ÷ 1

= 2/3 × 1/1

= (2 × 1)/(3 × 1)

= 2/3


2. 11/16 ÷ 1

= 11/16 × 1/1

= (11 × 1)/(16 × 1)

= 11/16

3. 21/43 ÷ 1

= 21/43 × 1/1

= (21 × 1)/(43 × 1)

= 21/43



Property 2:When zero is divided by non zero fractional number, then the quotient is always zero.

For Example:

1. 0 ÷ 7/9

= 0 × 9/7

= 0


2. 0 ÷ 18/33

= 0 × 33/18

= 0

3. 0 ÷ 29/16

= 0 × 16/29

= 0



Property 3: When any non zero fractional number is divided by itself, then the quotient is 1.

For Example:

1. 19/21 ÷ 19/21

= 19/21 × 21/19

= 1



2. 144/11 ÷ 144/11

= 144/11 × 11/144

= 1

Property 4: The reciprocal of zero or multiplicative inverse does not exist. So a fractional number cannot be divided by zero (0).

● Multiplication is Repeated Addition.

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Multiplicative Inverse.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Word Problems on Fraction.

● Worksheet on Word Problems on Fractions.

5th Grade Numbers Page

5th Grade Math Problems

From Properties of Fractional Division to HOME PAGE