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# Division of Fractions

Division of fractions involves the following steps:

• express any mixed numerals as improper fractions
• change the divide sign to multiplication sign
• take the reciprocal of the fraction after the division sign (i.e. flip the fraction upside down)
• now it becomes a case of multiplication of fractions, and you have to follow steps to multiply fractions

## Examples of division of fractions:

1. 2 ÷ =    (we are taking the reciprocal of the fraction after the division sign, and changing the division sign to a multiplication sign)

=  12

2. 1 ÷ First change the mixed numerals into improper fractions. So

1 ÷   =   ÷

=   x (take reciprocal and change to multiply sign)

=

=

When we divide a number with a fraction, the number of divided parts increase, therefore when we divide the fraction, the answer becomes larger.

1. For example, take 2 ÷ . Here we have 2 full blocks, and divide each block into two, thus making 4 parts.2 ÷   =  2 x 2  =  4
2. Similarly 2 ÷   =  2 x 3  =  6
3. What about  ÷ ?Here we need to ask ourselves the question “what should be the original block if when cut will give half”

So  ÷   =  1

4.   ÷ Here we have to ask “what should be the original block to get  when cut in half”

÷  x  =

5.   ÷ =   x

=

=