Question

If a:b =1/2 :1/3 and b:c = 3:4 find a:c

Answer 1

Answer:

a : c = 9 : 8

Step-by-step explanation:

Expressing the ratios in fractional form , then

$\frac{a}{c}$ = $\frac{a}{b}$ × $\frac{b}{c}$

Given a : b = $\frac{1}{2}$ : $\frac{1}{3}$ ( multiply both parts by 6 to clear the fractions )

a : b = 3 : 2 and b : c = 3 : 4 , then

$\frac{a}{c}$ = $\frac{3}{2}$ × $\frac{3}{4}$ = $\frac{3(3)}{2(4)}$ = $\frac{9}{8}$

That is a : c = 9 : 8

Answer 2

Step-by-step explanation:

I've written the answer and steps to solve the question a piece of paper which is in the attached photo. Hope this helps!