Question

A shopkeeper is measuring oil in a jar, he notices that the jar contains four markings to measure. He finds $\frac{3}{4}$ of the jar is filled with oil. Later, he uses another jar with same capacity but with 16 markings on it. What is the reading on the jar with 16 markings?

• A. $\frac{12}{16}$
• B. $\frac{9}{16}$
• C. $\frac{15}{16}$
• D. $\frac{10}{16}$

Answer 1

The correct option is A $\frac{12}{16}$

$\text{Fraction measuring the jar with 4 markings}=\frac{3}{4}$

Given that the shopkeeper uses another jar with 16 markings, which is the denominator of the equivalent fraction.

We can find an equivalent fraction by multiplying both the numerator and denominator with the same number.
To get 16 as denominator, we have to multiply denominator with 4.

$So,\frac{3}{4}\times \frac{4}{4}=\frac{12}{16}$

$\text{Therefore, the equivalent fraction of}\frac{3}{4}$ $is\frac{12}{16}.$