Question
Write the fractions in descending order.
$\frac{25}{16}, \frac{7}{8}, \frac{13}{4}, \frac{17}{32}$
$\frac{25}{16}, \frac{7}{8}, \frac{13}{4}, \frac{17}{32}$
✓
Answer
$\frac{25}{16}=\frac{25 \times 2}{16 \times 2}=\frac{50}{32}, \frac{7}{8}=\frac{7 \times 4}{8 \times 4}=\frac{28}{32}$
$\frac{13}{4}=\frac{13 \times 8}{4 \times 8}=\frac{104}{32}, \frac{17}{32}=\frac{17 \times 1}{32 \times 1}=\frac{17}{32}$
As $\frac{104}{32}>\frac{50}{32}>\frac{28}{32}>\frac{17}{32}$. So, $\frac{13}{4}>\frac{25}{16}>\frac{7}{8}>\frac{17}{32}$
$\frac{13}{4}=\frac{13 \times 8}{4 \times 8}=\frac{104}{32}, \frac{17}{32}=\frac{17 \times 1}{32 \times 1}=\frac{17}{32}$
As $\frac{104}{32}>\frac{50}{32}>\frac{28}{32}>\frac{17}{32}$. So, $\frac{13}{4}>\frac{25}{16}>\frac{7}{8}>\frac{17}{32}$
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