# Question #782b1

Oct 28, 2017

$\frac{1}{2} : \frac{2}{3} = \frac{3}{4} : 1$

$x = \frac{3}{4}$

#### Explanation:

To work out the value of $x$, we just need to figure out how to get from $\frac{2}{3}$ to $1$, and do the same thing with the $\frac{1}{2}$.

To get from $\frac{2}{3}$ to $1$, we can multiply by $1.5$:

$\frac{2}{3} \cdot 1.5 = 1$

As we multiplied by $1.5$ for $\frac{2}{3}$, we need to do the same thing with the $\frac{1}{2}$:

$\frac{1}{2} \cdot 1.5 = \frac{3}{4}$

Therefore, $x = \frac{3}{4}$ and

$\frac{1}{2} : \frac{2}{3} = \frac{3}{4} : 1$