Question

Solve

$3$$+$$7\frac{2}{9}$

Answer 1

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

Here, the given whole number is $3$ and fraction is $7\frac{2}{9}$. First, converting $7\frac{2}{9}$into improper fraction, we have

$7\frac{2}{9}$$=$$\frac{(9\times 7)+2}{9}=\frac{65}{9}$

Now, $3$$+$$7\frac{2}{9}$ $=$ $3$$+$$\frac{65}{9}$

$=$$\frac{3}{1}+\frac{65}{9}$ [converting the whole number $3$ into a fraction by taking $1$as its denominator]

$=$$\frac{3\times 9+65}{9}$ [ cross multiplying]

$=$ $\frac{27+65}{9}$

$=$ $\frac{92}{9}$

Therefore, $3$$+$$7\frac{2}{9}$ $=$ $\frac{92}{9}$