Question

Which of the following rational number lie between
$\frac{3}{5}$ and $\frac{3}{4}$?

• A. $\frac{7}{10}$
• B. $\frac{11}{20}$
• C. $\frac{17}{20}$
• D. $\frac{4}{5}$

Answer 1

The correct option is A $\frac{7}{10}$

We first convert $\frac{3}{5}$ and $\frac{3}{4}$ to rational numbers with the same denominators.

$\frac{3}{5}\times \frac{4}{4}=\frac{12}{20}$ and $\frac{3}{4}\times \frac{5}{5}=\frac{15}{20}$

Thus, $\frac{13}{20}$ and $\frac{14}{20}$ are the rational numbers between $\frac{12}{20}$ and $\frac{15}{20}$.
We can write, $\frac{14}{20}=\frac{7}{10}$