Question

Which is greater, $\frac{3}{5}or\frac{7}{10}$ and by how much ?

Answer 1

Step 1 : Comparing the given fractions by converting them into like fractions

$LCM(5,10)=2\times 5=10$

We will convert the denominator of each fraction equal to LCM

$\frac{3}{5}=\frac{3\times 2}{5\times 2}=\frac{6}{10}$

As we know that

$6<7$

$\Rightarrow \frac{6}{10}<\frac{7}{10}$

$\Rightarrow \frac{3}{5}<\frac{7}{10}$

Step 2: Subtracting the smaller fraction from the bigger

To find how much quantity is greater than the other we will have to subtract the smaller one from the bigger one

$\therefore \frac{7}{10}-\frac{6}{10}=\frac{7-6}{10}=\frac{1}{10}$

Hence, $\frac{7}{10}$ is greater than $\frac{3}{5}by\frac{1}{10}$.