Question

Find the greater fraction: $\frac{4}{5}\text{and}\frac{3}{10}$

Answer 1

Step 1: Finding LCM of denominators 5 and 10:
​​Prime Factors of 5 = 5
Prime Factors of 10 = 2 $\times$ 5
Thus, LCM (5, 10) = 2 $\times$ 5 = 10

Step 2: Converting into like Fractions:
Multiplying numerator and denominator of $1^{\text{st}}$ fraction by 2, we get,
$\frac{4}{5}=\frac{4\times 2}{5\times 2}$
$=\frac{8}{10}$

Step 3: Comparing the like fractions

Now comparing their numerator, we get
$3<8$
$\Rightarrow \frac{3}{10}<\frac{8}{10}$
$\Rightarrow \frac{3}{10}<\frac{4}{5}$
Hence $\frac{4}{5}$ is greater than $\frac{3}{10}$.