Question
Compare the fractions and justify your answer:
$\frac{4}{9}, \frac{3}{7}$
$\frac{4}{9}, \frac{3}{7}$
✓
Answer
Given, fractions are $\frac{4}{9}$ and $\frac{3}{7}$
LCM of 9 and 7 is 63.
$\begin{array}{l}\frac{4}{9}=\frac{4}{9} \times \frac{7}{7}=\frac{28}{63} \\ \frac{3}{7}=\frac{3}{7} \times \frac{9}{9}=\frac{27}{63}\end{array}$
Clearly, $\frac{28}{63}>\frac{27}{63}$ So, $\frac{4}{9}>\frac{3}{7}$
LCM of 9 and 7 is 63.
$\begin{array}{l}\frac{4}{9}=\frac{4}{9} \times \frac{7}{7}=\frac{28}{63} \\ \frac{3}{7}=\frac{3}{7} \times \frac{9}{9}=\frac{27}{63}\end{array}$
Clearly, $\frac{28}{63}>\frac{27}{63}$ So, $\frac{4}{9}>\frac{3}{7}$
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