1/4 of Mai’s height is equal to 2/5 of Jon’s height. Find the ratio of Mai’s height to Jon’s height.
Let Mai's height = m
Let Jon's height = j
We want to find \(\frac{m}{j}\)
\(\frac14\) of Mai's height | - is equal to - | \(\frac25\) of Jon's height | |
\(\frac14\) of Mai's height | = | \(\frac25\) of Jon's height |
|
\(\frac14\cdot m\) | = | \(\frac25\cdot j\) |
\(\frac14\cdot m\ =\ \frac25\cdot j\)
Multiply both sides of the equation by 4
\(m\ =\ \frac85\cdot j\)
Divide both sides of the equation by j
\(\frac{m}{j}\ =\ \frac85\)
The ratio of m to j is \(\frac85\)