Convert Years into Months

Convert Years to Months

Convert from a given number of years to months.

Years into Months

We are going to convert years into months.

$$\begin{align*}\text{6 years} = \underline{\hspace{7mm}}\text{ months}\end{align*}$$

To solve this problem, we first need to know our conversion factor for months and years:

$$\begin{align*}\frac{\text{12 months}}{\text{1 year}}\end{align*}$$

Let’s set up our equation using the conversion factor.

$$\begin{align*}6\text{ years}\times\frac{\text{12 months}}{1\text{ year}}\end{align*}$$

The years cancel each other out and we simply multiply 6 by 12.

$$\begin{align*}6\cancel{\text{years}}\times\frac{\text{12 months}}{1\cancel{\text{year}}}\end{align*}$$

$$\begin{aligned} 1&2\\ \times\hspace{3mm}&6\\ \hline 7&2 \end{aligned}$$

$$\begin{align*}\text{6 years }=\text{ 72 months}\end{align*}$$