Question

Find the ratio of x to y. 2/3 4/9 1

Answer 1

Answer:

$\frac{x}{y}$ = $\frac{4}{9}$

Step-by-step explanation:

Given

$\frac{x}{5}$ = $\frac{2}{3}$ = $\frac{5}{y}$

This can be expressed in 2 parts as

$\frac{x}{5}$ = $\frac{2}{3}$ ( cross- multiply )

3x = 10 ( divide both sides by 3 )

x = $\frac{10}{3}$

and

$\frac{2}{3}$ = $\frac{5}{y}$ ( cross- multiply )

2y = 15 ( divide both sides by 2 )

y = $\frac{15}{2}$

Thus

$\frac{x}{y}$ = $\frac{\frac{10}{3} }{\frac{15}{2} }$ = $\frac{10}{3}$ × $\frac{2}{15}$ ( cancel 10 and 15 by 5 )

$\frac{x}{y}$ = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$