# How many minutes are in m hours?

Apr 29, 2017

See the solution process below:

#### Explanation:

We can solve this using ratios:

$60 \min : 1$ $h r \to x : m$ $h r$

Or

$\frac{60 \min}{1 h r} = \frac{x}{m h r}$

$\textcolor{red}{m h r} \cdot \frac{60 \min}{1 h r} = \textcolor{red}{m h r} \cdot \frac{x}{m h r}$

$\textcolor{red}{m \textcolor{b l a c k}{\cancel{\textcolor{red}{h r}}}} \cdot \frac{60 \min}{1 \textcolor{red}{\cancel{\textcolor{b l a c k}{h r}}}} = \textcolor{red}{\textcolor{b l a c k}{\cancel{\textcolor{red}{m}}} \textcolor{b l a c k}{\cancel{\textcolor{red}{h r}}}} \cdot \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{m}}} \textcolor{red}{\cancel{\textcolor{b l a c k}{h r}}}}$

$60 m \min u t e s = x$

Therefore there are $60 m$ minutes in $m$ hours.