Question
Compare the fractions given below:
$\frac{11}{12},\frac{13}{15}$
$\frac{11}{12},\frac{13}{15}$
✓
Answer
L.C.M. of 12 and 15 = (2 × 2 × 3 × 5) = 60
Now, we convert $\frac{11}{12}$ and $\frac{13}{15}$ into equivalent fractions having 40 as the denominator.
$\therefore\frac{11}{12}=\frac{11\times5}{12\times5}=\frac{55}{60}$
and $\frac{13}{15}=\frac{13\times4}{15\times4}=\frac{52}{60}$
Clearly, $\frac{55}{60}>\frac{52}{60}$
$\therefore\frac{11}{12}>\frac{13}{15}$
Now, we convert $\frac{11}{12}$ and $\frac{13}{15}$ into equivalent fractions having 40 as the denominator.
$\therefore\frac{11}{12}=\frac{11\times5}{12\times5}=\frac{55}{60}$
and $\frac{13}{15}=\frac{13\times4}{15\times4}=\frac{52}{60}$
Clearly, $\frac{55}{60}>\frac{52}{60}$
$\therefore\frac{11}{12}>\frac{13}{15}$
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