Question

$a$ parts out of $b$ equal parts are _____ parts out of $100$ equal parts.

• A. $\frac{a}{b}÷100$
• B. $\frac{a}{b}$
• C. $\frac{a}{b}\times 100$
• D. $\frac{a}{b}\times a$

Answer 1

The correct option is C $\frac{a}{b}\times 100$

$\frac{a}{b}$ can be viewed as $\frac{\frac{a}{b}}{1}=\frac{\frac{a}{b}\times 100}{1\times 100}=\frac{\frac{a}{b}\times 100}{100}$

Therefore, a parts out of $b$ parts are $(\frac{a}{b}\times 100)$ parts out of $100$ parts.