# How do you find the quotient of 2/9 divided by 5/4?

Nov 10, 2015

$\frac{8}{45}$

#### Explanation:

Rewrite in fraction form: $\frac{\frac{2}{9}}{\frac{5}{4}}$

This fraction falls into the $a , b , c , d$ pattern where when dividing 2 fractions: $\frac{\frac{a}{b}}{\frac{c}{d}}$ you can rewrite the problem as:
$\frac{a \cdot d}{b \cdot c}$ Now just plug in the original numbers in their form so you get:

$\frac{2 \cdot 4}{9 \cdot 5} \to \frac{8}{45}$

OR you can use keep it, change it, flip it:
Keep it: $\frac{2}{9}$
Change it: $\cdot$
Flip it: $\frac{4}{5}$
Then just multiply straight across to get : $\frac{8}{45}$