Question

Compare the fractions using the symbols $<$, $>$ or $=$

$\frac{15}{29}$$\square$$\frac{4}{13}$

Answer 1

The given fractions are $\frac{15}{29}$ and $\frac{4}{13}$.

To insert the proper symbol and to compare the given fractions, we will convert them into like fractions with the denominator as LCM of the two denominators. The LCM of the two denominators $29$ and $13$ is $377$. Therefore, converting the fractions into like fractions with denominator $377$, We have

$\frac{15}{29}$$=$$\frac{15\times 13}{29\times 13}$$=$$\frac{195}{377}$

and

$\frac{4}{13}$$=$$\frac{4\times 29}{13\times 29}$$=$$\frac{116}{377}$

Now, for like fractions, the fraction with greater numerator is greater.

Therefore,

$\frac{195}{377}$$>$ $\frac{116}{377}$

or $\frac{15}{29}$$>$$\frac{4}{13}$