Question

Pick out the greater fraction

$\frac{9}{11}or\frac{58}{66}$

Answer 1

Step 1: Simplify fractions if possible

$\frac{58}{66}=\frac{58÷2}{66÷2}=\frac{29}{33}$

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

$LCM(11,33)=33$

Step 3: Write equivalent fractions having same denominator

$$\begin{gathered} \frac{9}{11}=\frac{9\times 3}{11\times 3}=\frac{27}{33} \\ \frac{29}{33} \end{gathered}$$

Step 4: Compare numerator when denominators are equal.

$\frac{27}{33}<\frac{29}{33}$

Final Answer: $\frac{29}{33}=\frac{58}{66}$