Question

State true or false

Five rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$ are $\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}$.

• A. True
• B. False

Answer 1

The correct option is A True

To get the rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$
Take an LCM of these two numbers: $\frac{1}{4}$ and $\frac{2}{4}$
Multiply numerator and denominator by 8: $\frac{8}{32}$ and $\frac{16}{32}$
All the numbers between $\frac{8}{32}$ and $\frac{16}{32}$ form the answer
Some of these numbers are $\frac{9}{32}$, $\frac{10}{32}$, $\frac{11}{32}$, $\frac{12}{32}$, $\frac{13}{32}$