Question

If $A:B=\frac{1}{2}:\frac{3}{8},B:C=\frac{1}{3}:\frac{5}{9}$ and $C:D=\frac{5}{6}:\frac{3}{4}$, then the ratio $A:B:C:D$ is

• A. $6:4:8:10$
• B. $6:8:9:10$
• C. $8:6:10:9$
• D. $4:6:9:10$

Answer 1

The correct option is C $8:6:10:9$

$A:B=\frac{1}{2}:\frac{3}{8}=\frac{1}{2}÷\frac{3}{8}=\frac{1}{2}\times \frac{8}{3}=\frac{4}{3}=4:3=8:6$

$B:C=\frac{1}{3}:\frac{5}{9}=\frac{1}{3}÷\frac{5}{9}=\frac{1}{3}\times \frac{9}{5}=\frac{3}{5}=3:5=6:10$

$C:D=\frac{5}{6}:\frac{3}{4}=\frac{5}{6}÷\frac{3}{4}=\frac{5}{6}\times \frac{4}{3}=\frac{10}{9}=10:9$

$\therefore A:B:C:D=8:6:10:9.$