Solve 72/3-32/5

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

Evaluate

$$\frac{64}{15}\approx 4.266666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}-\frac{3\times 5+2}{5}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{3\times 5+2}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{23}{3}-\frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$\frac{23}{3}-\frac{17}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{17}{5} to fractions with denominator 15.

$$\frac{115}{15}-\frac{51}{15}$$

Since \frac{115}{15} and \frac{51}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-51}{15}$$

Subtract 51 from 115 to get 64.

$$\frac{64}{15}$$

Factor

$$\frac{2 ^ {6}}{3 \cdot 5} = 4\frac{4}{15} = 4.266666666666667$$