How to compare $\frac{2}{6}$ and $\frac{5}{7}$?

Given :

Given numbers are $\frac{2}{6}$ and $\frac{5}{7}$.

To do:

We have to compare the given numbers.

Solution :

• To compare two rational numbers, convert the denominators of both the rational numbers into same number.
• Then compare the numerators of both the rational numbers.
• The rational number in which the numerator is greater is the greater rational number.

$\frac{2}{6}$ and $\frac{5}{7}$.

L.C.M. of 6 and 7 is 42.

Therefore,

$\frac{2}{6}=\frac{2\times7}{6\times7}=\frac{14}{42}$

$\frac{5}{7}=\frac{5\times6}{7\times6}=\frac{30}{42}$

On comparing the numerators 30>14.

This implies, $\frac{30}{42}>\frac{14}{42}$

Therefore,

$\frac{5}{7}>\frac{2}{6}$.

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Updated on: 10-Oct-2022

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