# How do you simplify #4 1/4 div 2#?

##### 2 Answers

#### Explanation:

While using fractions, we convert division into multiplication by taking the multiplicative inverse or reciprocal of the divisor.

As reciprocal of a fraction is nothing but numerator and denominator reversed, if we have to divide

If one of the numbers is not a fraction, we write it as fraction. For example

Hence

=

=

=

Full explanation given as to how it all works.

#### Explanation:

Given:

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the

Write as:

Multiply by 1 and you do not change the value, but 1 comes in many forms. So we can change the way it looks without changing the intrinsic value.

Multiply the 4 by 1 but in the form of

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together:

'.............................................................................................

Multiply the 2 by 1 but in the form of

Fraction structure is