Question
Compare the fractions and justify your answer:
$\frac{9}{4}, \frac{5}{2}$
$\frac{9}{4}, \frac{5}{2}$
✓
Answer
Given, fractions are $\frac{9}{4}, \frac{5}{2}$
LCM of 4 and 2 is 4
$\begin{array}{l}\frac{9}{4} \times \frac{1}{1}=\frac{9}{4} \\ \frac{5}{2} \times \frac{2}{2}=\frac{10}{4}\end{array}$
Clearly $\frac{9}{4}<\frac{10}{4}$ So, $\frac{9}{4}<\frac{5}{2}$
LCM of 4 and 2 is 4
$\begin{array}{l}\frac{9}{4} \times \frac{1}{1}=\frac{9}{4} \\ \frac{5}{2} \times \frac{2}{2}=\frac{10}{4}\end{array}$
Clearly $\frac{9}{4}<\frac{10}{4}$ So, $\frac{9}{4}<\frac{5}{2}$
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