Question

Express $\frac{13}{8}$ as a rational number with denominator $32$.

• A. $\frac{52}{32}$
• B. $\frac{13}{32}$
• C. $\frac{32}{8}$
• D. $\frac{8}{32}$

Answer 1

The correct option is A $\frac{52}{32}$

$\Rightarrow$$\frac{13}{8}$ as a rational number with denominator $32.$

$=\frac{13}{8}\times \frac{x}{x}=\frac{y}{32}$

$\Rightarrow$$8x=32$

$\Rightarrow$$x=4$

$\Rightarrow$$\frac{13}{8}\times \frac{4}{4}=\frac{52}{32}$

$\Rightarrow$$y=52$

$=\frac{52}{32}$