Question
Find the difference between $\frac{8}{9}$ and $\frac{2}{7}$
✓
Answer
$\frac{8}{9}=\frac{8 \times 7}{9 \times 7}=\frac{56}{63} $
$ \frac{2}{7}=\frac{2 \times 9}{7 \times 9}=\frac{18}{63} $
$ \frac{56}{63}>\frac{18}{63} $
$ \therefore \frac{8}{9}>\frac{2}{7} $
$ \frac{8}{9}-\frac{2}{7}=\frac{56}{63}-\frac{18}{63}
$$=\frac{56-18}{63} $
$ =\frac{38}{63} $
$ \frac{8}{9}-\frac{2}{7}=\frac{38}{63}$
$ \frac{2}{7}=\frac{2 \times 9}{7 \times 9}=\frac{18}{63} $
$ \frac{56}{63}>\frac{18}{63} $
$ \therefore \frac{8}{9}>\frac{2}{7} $
$ \frac{8}{9}-\frac{2}{7}=\frac{56}{63}-\frac{18}{63}
$$=\frac{56-18}{63} $
$ =\frac{38}{63} $
$ \frac{8}{9}-\frac{2}{7}=\frac{38}{63}$
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