Question
Compare the fractions given below:
$\frac{7}{8},\frac{9}{10}$
$\frac{7}{8},\frac{9}{10}$
✓
Answer
L.C.M. of 8 and 10 = (2 × 5 × 2 × 2) = 40
Now, we convert $\frac{7}{8}$ and $\frac{9}{10}$ into equivalent fractions having 40 as the denominator.
$\therefore\frac{7}{8}=\frac{7\times5}{8\times5}=\frac{35}{40}$
and $\frac{9}{10}=\frac{9\times4}{10\times4}=\frac{36}{40}$
Clearly, $\frac{35}{40}<\frac{36}{40}$
$\therefore\frac{7}{8}<\frac{9}{10}$
Now, we convert $\frac{7}{8}$ and $\frac{9}{10}$ into equivalent fractions having 40 as the denominator.
$\therefore\frac{7}{8}=\frac{7\times5}{8\times5}=\frac{35}{40}$
and $\frac{9}{10}=\frac{9\times4}{10\times4}=\frac{36}{40}$
Clearly, $\frac{35}{40}<\frac{36}{40}$
$\therefore\frac{7}{8}<\frac{9}{10}$
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