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

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