Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers2 Marks
Question
Find a rational number exactly halfway between. $\frac{1}{15}$ and $\frac{1}{12}$
✓
Answer
We know that, a rational number, which is haifway between two rational number i.e.
$a$ and $b =\frac{\text{a}+\text{b}}{2}.$ Given rational numbers are $\frac{1}{15}$ and $\frac{1}{12}.$
Here, $\text{a} =\frac{1}{15}$ and $\text{b}=\frac{1}{12}$
$\therefore\frac{\text{a}+\text{b}}{2}=\frac{\frac{1}{15}+\frac{1}{12}}{2}=\frac{\frac{1\times4}{15\times4}+\frac{1\times5}{12\times5}}{2}$
$=\frac{\frac{4}{60}+\frac{5}{60}}{2}=\frac{\frac{4+5}{60}}{2}=\frac{9}{60\times2}=\frac{9}{120}$
$=\frac{3}{40}$
Hecne, the exaclty halfway betweenm $\frac{1}{15}$ and $\frac{1}{12}$ is $\frac{3}{40}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.