Solve 432/5-62/3

$$43 \frac { 2 } { 5 } - 6 \frac { 2 } { 3 }$$

Evaluate

$$\frac{551}{15}\approx 36.733333333$$

Solution Steps

Multiply 43 and 5 to get 215.

$$\frac{215+2}{5}-\frac{6\times 3+2}{3}$$

Add 215 and 2 to get 217.

$$\frac{217}{5}-\frac{6\times 3+2}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{217}{5}-\frac{18+2}{3}$$

Add 18 and 2 to get 20.

$$\frac{217}{5}-\frac{20}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{217}{5} and \frac{20}{3} to fractions with denominator 15.

$$\frac{651}{15}-\frac{100}{15}$$

Since \frac{651}{15} and \frac{100}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{651-100}{15}$$

Subtract 100 from 651 to get 551.

$$\frac{551}{15}$$

Factor

$$\frac{19 \cdot 29}{3 \cdot 5} = 36\frac{11}{15} = 36.733333333333334$$