Question

Find the greater fraction: $\frac{3}{5}\text{and}\frac{11}{15}$

Answer 1

Step 1: Finding LCM of denominators 5 and 15:
​​Prime Factors of 5 = 5
Prime Factors of 15 = 3 $\times$ 5
Thus, LCM (5, 15) = 3 $\times$ 5 = 15

Step 2: Converting into like Fractions:
Multiplying numerator and denominator of $1^{\text{st}}$ fraction by 3, we get,
$\frac{3}{5}=\frac{3\times 3}{5\times 3}$
$=\frac{9}{15}$

Step 3: Comparing the like fractions

Now comparing their numerator, we get
$9<11$
$\Rightarrow \frac{9}{15}<\frac{11}{15}$
$\Rightarrow \frac{3}{5}<\frac{11}{15}$
Hence $\frac{11}{15}$ is greater than $\frac{3}{5}$.