# NCERT Solutions Class 8 Mathematics Solutions for Exercise 1.2 in Chapter 1 - Rational Numbers

Question 18 Exercise 1.2

\text { Find ten rational numbers between } \frac{3}{5} \text { and } \frac{3}{4}

Let us make the denominators same, say 80.

\begin{array}{l} \frac{3}{5} \Rightarrow \frac{3 \times 16}{5 \times 16}=\frac{48}{80} \\ \frac{3}{4} \Rightarrow \frac{3 \times 20}{4 \times 20}=\frac{60}{80} \end{array}

\begin{aligned} &\text { Ten rational numbers between } \frac{3}{5} \text { and } \frac{3}{4}=\text { ten rational numbers between } \frac{48}{80} \text { and } \frac{60}{80}\\ &\therefore \text { ten rational numbers between } \frac{48}{80} \text { and } \frac{60}{80}=\frac{49}{80}, \frac{50}{80}, \frac{51}{80}, \frac{52}{80}, \frac{54}{80}, \frac{55}{80}, \frac{56}{80}, \frac{57}{80}, \frac{58}{80}, \frac{59}{80} \end{aligned}

Video transcript
"hello students i am rita your math leader tutor and today's question is find 10 rational numbers between 3 by 5 and 3 by 4 first of all we make it first of all we find the lcm of 5 and 4 and the lcm of 5 and 4 is 20. now 3 by 5 into 4 into 4 we got 12 by 20 and 3 by 4 into 5 into 5 we got 15 by 20 now we have to find the 10 rational number so if we have to find the 10 rational numbers so we multiply both of them by 11 in the numerator and the denominator we multiplied by 11 one more than 10 so 12 into 11 eleven two zero twenty two eleven ones are eleven twelve thirty now it's become one hundred thirty two divided by eleven twos are two twenty and fifteen into eleven then eleven fives are fifty five eleven ones eleven plus five one hundred sixty five divided by two twenty now we write ten rational number between them between 132 by 220 and 165 by 220 now we write the 10 rational number that is 133 by 220 134 by 220 135 by 220 136 by 220 137 by 220 138 by 220 139 by 220 140 divided by 220 141 divided by 220 and 142 divided by 220 so 1 2 3 4 5 6 7 8 9 10. so these ten rational numbers between three by five and three by four so this is our answer i hope you like this video so please subscribe leto for more updates and do comment your questions thank you "
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