Solve 72/9+65/6

$$7 \frac { 2 } { 9 } + 6 \frac { 5 } { 6 }$$

Evaluate

$$\frac{253}{18}\approx 14.055555556$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+2}{9}+\frac{6\times 6+5}{6}$$

Add 63 and 2 to get 65.

$$\frac{65}{9}+\frac{6\times 6+5}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{65}{9}+\frac{36+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{65}{9}+\frac{41}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{65}{9} and \frac{41}{6} to fractions with denominator 18.

$$\frac{130}{18}+\frac{123}{18}$$

Since \frac{130}{18} and \frac{123}{18} have the same denominator, add them by adding their numerators.

$$\frac{130+123}{18}$$

Add 130 and 123 to get 253.

$$\frac{253}{18}$$

Factor

$$\frac{11 \cdot 23}{2 \cdot 3 ^ {2}} = 14\frac{1}{18} = 14.055555555555555$$