Question

State true or false.

Five rational numbers between.

$\frac{2}{3}$ and $\frac{4}{5}$ are $\frac{41}{60},\frac{42}{60},\frac{43}{60},\frac{44}{60},\frac{45}{60}$

• A. True
• B. False

Answer 1

The correct option is A True

To get the rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$
Take an LCM of these two numbers: $\frac{10}{15}$ and $\frac{12}{15}$
Multiply numerator and denominator by 4: $\frac{40}{60}$ and $\frac{48}{60}$
All the numbers between $\frac{40}{60}$ and $\frac{48}{60}$ form the answer
Some of these numbers are $\frac{41}{60}$, $\frac{42}{60}$, $\frac{43}{60}$, $\frac{44}{60}$, $\frac{45}{60}$

Hence the statement is true