Question

Pick out the greater fraction

$\frac{8}{14}or\frac{31}{42}$

Answer 1

Comparing the fractions

The given fractions are $\frac{8}{14},\frac{31}{42}$

Simplify fractions if possible

$\frac{8}{14}=\frac{8÷2}{14÷2}=\frac{4}{7}$

Find L.C.M. of denominator of given fractions

$LCM(7,42)=42$

Now, write the equivalent fractions having same denominator

$$\begin{gathered} \frac{4}{7}=\frac{4\times 6}{7\times 6}=\frac{24}{42} \\ \frac{31}{42} \end{gathered}$$

Compare numerator when denominators are equal.

$24<31$

So, $\frac{24}{42}<\frac{31}{42}$

Hence, $\frac{31}{42}$is the greater fraction