**Lets see how to get a simple fraction out of a complex one:**

Step 1 : Read the given problems, note down the given fraction and observe atleast numerator or denominator has fraction in it. Let us take it of form

**$\frac{a/b}{c/d}$**

Step 2 : Invert the fraction of denominator and multiply it with numerator as shown below

$\frac{a/b}{c/d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$

Simplify it and get the answer.

### Solved Example

**Question: **Simplify the fraction:

(a)

$\frac{3/4}{6/7}$ (b)

$\frac{4/7}{2/3}$.

** Solution: **

(a) Given fraction is $\frac{3/4}{6/7}$

Invert the fraction of denominator and multiply it with numerator
to get

$\frac{3/4}{6/7}$ = $\frac{3}{4}$ $\times$ $\frac{7}{6}$

= $\frac{21}{24}$

Cancel out the common terms to get

$\frac{3/4}{6/7}$ = $\frac{7}{8}$

(b) Given fraction is $\frac{4/7}{2/3}$

Invert the fraction of denominator and multiply it with numerator
to get

$\frac{4/7}{2/3}$ = $\frac{4}{7}$ $\times$ $\frac{3}{2}$

= $\frac{12}{14}$

Cancel out the common terms to get

$\frac{4/7}{2/3}$ = $\frac{6}{7}$