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Find five rational numbers between:2/3 and 4/5

Find five rational numbers between:2/3 and 4/5

Question : State true or false:

Five rational numbers between

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

  1. True
  2. False
Solution :

Correct option is 1.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.

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