Question
Compare $4 : 5$ and $7 : 9.$

Answer

The given fraction are $\frac{4}{5}$ and $\frac{7}{9}$
$LCM$ of $5$ and $9 = 5 \times 9 = 45$
Now, We have: $\frac{4\times9}{5\times9}=\frac{36}{45}$ and $\frac{7\times5}{9\times5}=\frac{35}{45}$
Clearly, $\frac{35}{45}<\frac{36}{45}$
Hence, $(7 : 9)<(4:5)$

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