Question
Compare the fractions and justify your answer:
$\frac{7}{10}, \frac{9}{14}$
$\frac{7}{10}, \frac{9}{14}$
✓
Answer
Given fractions are $\frac{7}{10}$ and $\frac{9}{14}$
LCM of 10 and 14 is 70.
$\begin{array}{l}\frac{7}{10}=\frac{7}{10} \times \frac{7}{7}=\frac{49}{70} \\ \frac{9}{14}=\frac{9}{14} \times \frac{5}{5}=\frac{45}{70}\end{array}$
Clearly, $\frac{49}{70}>\frac{45}{70}$ So, $\frac{7}{10}>\frac{9}{14}$
LCM of 10 and 14 is 70.
$\begin{array}{l}\frac{7}{10}=\frac{7}{10} \times \frac{7}{7}=\frac{49}{70} \\ \frac{9}{14}=\frac{9}{14} \times \frac{5}{5}=\frac{45}{70}\end{array}$
Clearly, $\frac{49}{70}>\frac{45}{70}$ So, $\frac{7}{10}>\frac{9}{14}$
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