Question

What is 9/4 divided by 5/8? Help me pls

Answer 1

We are given the following operation:

$\frac{\frac{9}{4}}{\frac{5}{8}}$

To solve this we will use the following property of rationals:

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$

Applying the property we get:

$\frac{\frac{9}{4}}{\frac{5}{8}}=\frac{(9)(8)}{(5)(4)}$

Solving the operations:

$\frac{(9)(8)}{(5)(4)}=\frac{72}{20}$

We can simplify by dividing both sides by 4:

$\frac{\frac{72}{4}}{\frac{20}{4}}=\frac{18}{5}$

Since we can't simplify any further this is the final answer.