Question
Convert given fraction into a fraction with equal numerators:
$\frac{8}{9} \text { and } \frac{12}{17}$
$\frac{8}{9} \text { and } \frac{12}{17}$
✓
Answer
$\ln \frac{8}{9}$ and $\frac{12}{17}$, L.C.M. of 8 and $12=24$
$ \therefore \frac{8}{9}=\frac{8 \times 3}{9 \times 3}=\frac{24}{27} $
$ \frac{12}{17}=\frac{12 \times 2}{17 \times 2}=\frac{24}{34} $
Hence the required fractions are $\frac{24}{27}$ and $\frac{24}{34}$
$ \therefore \frac{8}{9}=\frac{8 \times 3}{9 \times 3}=\frac{24}{27} $
$ \frac{12}{17}=\frac{12 \times 2}{17 \times 2}=\frac{24}{34} $
Hence the required fractions are $\frac{24}{27}$ and $\frac{24}{34}$
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