Question

Pick out the greater fraction

$\frac{10}{12}or\frac{13}{15}$

Answer 1

Step 1: Simplify fractions if possible:

$\frac{10}{12}=\frac{10÷2}{12÷2}=\frac{5}{6}$,$\frac{13}{15}$

Step 2: Find L.C.M. of denominator of given fractions:

$LCM(6,15)=30$

Step 3: Write equivalent fractions having same denominator:

$$\begin{gathered} \frac{5}{6}=\frac{5\times 5}{6\times 5}=\frac{25}{30} \\ \frac{13}{15}=\frac{13\times 2}{15\times 2}=\frac{26}{30} \end{gathered}$$

Compare numerator when denominators are equal.

$\frac{25}{30}<\frac{26}{30}$

Hence,$\frac{13}{15}$is greater fraction.