Question

Solve.

$\frac{3}{10}$$-$$\frac{1}{4}$

Answer 1

The given fractions $\frac{3}{10}$ and $\frac{1}{4}$ are unlike fractions as the denominators of the two fractions are different. To subtract two or more unlike fractions we convert them into like fractions and then subtract these corresponding like fractions.

To covert $\frac{3}{10}$ and $\frac{1}{4}$into like fractions, we convert them into their equivalent forms with the denominator as the LCM of denominators of the given fractions.

The LCM of the given denominators $10$ and $4$ is $20$. Therefore, to convert $\frac{3}{10}$ and $\frac{1}{4}$ into their equivalent fractions with denominator $20$, we have

$\frac{3}{10}$$=\frac{3\times 2}{10\times 2}$ [ Multiplying numerator and denominator by $2$ ]

$=$$\frac{6}{20}$

and

$\frac{1}{4}$$=\frac{1\times 5}{4\times 5}$ [ Multiplying numerator and denominator by $5$ ]

$=$$\frac{5}{20}$

Now, $\frac{3}{10}$$-$$\frac{1}{4}$$=$$\frac{6}{20}-\frac{5}{20}=\frac{1}{20}$

Therefore, $\frac{3}{10}$$-$$\frac{1}{4}$$=$$\frac{1}{20}$