Solve 72/3-21/5

$$7 \frac { 2 } { 3 } - 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{82}{15}\approx 5.466666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}-\frac{2\times 5+1}{5}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{23}{3}-\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{23}{3}-\frac{11}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{11}{5} to fractions with denominator 15.

$$\frac{115}{15}-\frac{33}{15}$$

Since \frac{115}{15} and \frac{33}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-33}{15}$$

Subtract 33 from 115 to get 82.

$$\frac{82}{15}$$

Factor

$$\frac{2 \cdot 41}{3 \cdot 5} = 5\frac{7}{15} = 5.466666666666667$$