Solve 72/9-35/6

$$7 \frac { 2 } { 9 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{61}{18}\approx 3.388888889$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+2}{9}-\frac{3\times 6+5}{6}$$

Add 63 and 2 to get 65.

$$\frac{65}{9}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{65}{9}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{65}{9}-\frac{23}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{65}{9} and \frac{23}{6} to fractions with denominator 18.

$$\frac{130}{18}-\frac{69}{18}$$

Since \frac{130}{18} and \frac{69}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{130-69}{18}$$

Subtract 69 from 130 to get 61.

$$\frac{61}{18}$$

Factor

$$\frac{61}{2 \cdot 3 ^ {2}} = 3\frac{7}{18} = 3.388888888888889$$