Which is smaller -7-11 or 9-13

Converting fractions as Like fraction7/11 or 9/130ex0ex=7× 13/11× 13 or 9× 11/13× 110ex0ex=91/143 or 99/143Therefore 91/143is smaller than 99/143.Hence, 7/11 i ...

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Standard VI

Mathematics

Inter Conversion of Mixed Fraction and Improper Fraction

Which is smal...

Question

Which is smaller ?
$\frac{7}{11} o r \frac{9}{13}$

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Solution

Converting fractions as Like fraction
$\frac{7}{11} o r \frac{9}{13} = \frac{7 \times 13}{11 \times 13} o r \frac{9 \times 11}{13 \times 11} = \frac{91}{143} o r \frac{99}{143}$
Therefore $\frac{91}{143}$ is smaller than $\frac{99}{143}$ .
Hence, $\frac{7}{11}$ is smaller than $\frac{9}{13}$ .

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Which is smaller ?711or913

Converting fractions as Like fraction711or913=7×1311×13or9×1113×11=91143or99143Therefore 91143is smaller than 99143.Hence, 711 is smaller than 913.

Which is smaller ?
$\frac{7}{11} o r \frac{9}{13}$

Converting fractions as Like fraction
$\frac{7}{11} o r \frac{9}{13} = \frac{7 \times 13}{11 \times 13} o r \frac{9 \times 11}{13 \times 11} = \frac{91}{143} o r \frac{99}{143}$
Therefore $\frac{91}{143}$ is smaller than $\frac{99}{143}$ .
Hence, $\frac{7}{11}$ is smaller than $\frac{9}{13}$ .