Question

Solve

$1$$-$$\frac{8}{11}$

Answer 1

The given expression contains a whole number and a mixed fraction. To subtract a whole number and a fraction we express the whole number in a fraction by writing $1$ in the denominator. Then we subtract the two fractions by converting them into like fractions (or by cross multiplication )

Here, the given whole number is $1$ and fraction is $\frac{8}{11}$.

Now, $1$$-$$\frac{8}{11}$ $=$$\frac{1}{1}-\frac{8}{11}$ [converting whole number $1$ into a fraction by taking $1$as its denominator]

$=$$\frac{1\times 11-8\times 1}{11}$ [cross multiplying]

$=$ $\frac{11-8}{11}$

$=$ $\frac{3}{11}$

Therefore,$1$$-$$\frac{8}{11}$ $=$ $\frac{3}{11}$