Question
Write the fractions in descending order.
$\frac{3}{4}, \frac{12}{5}, \frac{7}{12}, \frac{5}{4}$
$\frac{3}{4}, \frac{12}{5}, \frac{7}{12}, \frac{5}{4}$
✓
Answer
$\frac{3}{4}=\frac{3 \times 15}{4 \times 15}=\frac{45}{60}, \frac{12}{5}=\frac{12 \times 12}{5 \times 12}=\frac{144}{60}$
$\frac{7}{12}=\frac{7 \times 5}{12 \times 5}=\frac{35}{60}, \frac{5}{4}=\frac{5 \times 15}{4 \times 15}=\frac{75}{60}$
As $\frac{144}{60}>\frac{75}{60}>\frac{45}{60}>\frac{35}{60}$. So, $\frac{12}{5}>\frac{5}{4}>\frac{3}{4}>\frac{7}{12}$
$\frac{7}{12}=\frac{7 \times 5}{12 \times 5}=\frac{35}{60}, \frac{5}{4}=\frac{5 \times 15}{4 \times 15}=\frac{75}{60}$
As $\frac{144}{60}>\frac{75}{60}>\frac{45}{60}>\frac{35}{60}$. So, $\frac{12}{5}>\frac{5}{4}>\frac{3}{4}>\frac{7}{12}$
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