# Ex.1.1 Q3 Number System Solution - NCERT Maths Class 9

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## Question

Find five rational numbers between \begin{align}\frac{3}{4} \text{ and } \frac{4}{5}\end{align}

Video Solution
Number Systems
Ex 1.1 | Question 3

## Text Solution

Steps:

Since we make the denominator same first, then

\begin{align} \frac{3}{4} &=\frac{3 \times 5}{4 \times 5} \\ &=\frac{15}{20} \\ \frac{4}{5} &=\frac{4 \times 4}{5 \times 4} \\ &=\frac{16}{20} \end{align}

Now, we have to find $$5$$ rational numbers.

\begin{align}\therefore\,\frac{15}{20}& =\frac{15\times 6}{20\times 6} \\ &=\frac{90}{120} \\ \frac{16}{20} &=\frac{16\times 6}{20\times 6} \\ & =\frac{96}{120} \\ \end{align}

\begin{align}\text{\(\therefore Five rational numbers between}\frac{3}{4} \text { and } \frac{4}{5} \text { are: } \frac{91}{120}, \frac{92}{120}, \frac{93}{120}, \frac{94}{120} \text { and } \frac{95}{120} \end{align}\)

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