# How many groups are of 5/2 are there in 19/2?

Nov 24, 2016

There are 19/5 or $3 \frac{4}{5}$ groups of 5/2 in 19/2.

#### Explanation:

This question is asking you to divide 5/2 into 19/2 or to solve:

$\frac{\frac{19}{2}}{\frac{5}{2}}$

Using the rules for dividing fractions this converts into:

$\frac{19 \cdot 2}{2 \cdot 5} \implies$

$\frac{38}{10} \implies \left(\frac{2}{2}\right) \left(\frac{19}{5}\right) \implies \frac{19}{5}$