Question

$\text{If}\frac{5}{8}\times \frac{4}{3}\times \frac{2}{3}=A\text{, compare the value of}A\text{with 1}$

• A. $A<1$
• B. $A>1$
• C. $A=1$
• D. Cannot be determined.

Answer 1

The correct option is A $A<1$

$\text{Calculating}\frac{5}{8}\times \frac{4}{3}\times \frac{2}{3}\text{we get:}$

$\frac{5}{8}\times \frac{4}{3}\times \frac{2}{3}$

$=(\frac{5}{8}\times \frac{4}{3})\times \frac{2}{3}$

$=\frac{5\times 4}{8\times 3}\times \frac{2}{3}$

$=\frac{20}{24}\times \frac{2}{3}$

$=\frac{20\times 2}{24\times 3}$

$=\frac{40}{72}$

$=\frac{40÷8}{72÷8}$

$=\frac{5}{9}$

$\text{Now,}5<9$

$⟹\frac{5}{9}<\frac{9}{9}$

$\therefore \frac{5}{9}<1$