Question

Solve

$7$$-$$3\frac{2}{7}$

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 $7$ and fraction is $3\frac{2}{7}$. First, converting $3\frac{2}{7}$into improper fraction, we have

$3\frac{2}{7}$$=$$\frac{(7\times 3)+2}{7}=\frac{23}{7}$

Now, $7$$-$$3\frac{2}{7}$ $=$ $7$$-$$\frac{23}{7}$

$=$$\frac{7}{1}-\frac{23}{7}$ [converting whole number $7$ into a fraction by taking $1$as its denominator]

$=$$\frac{7\times 7-23}{7}$ [cross multiplying]

$=$ $\frac{49-23}{7}$

$=$ $\frac{26}{7}$

Therefore, $7$$-$$3\frac{2}{7}$ $=$ $\frac{26}{7}$