Solve 53/5-42/3=

$$5 \frac { 3 } { 5 } - 4 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+3}{5}-\frac{4\times 3+2}{3}$$

Add 25 and 3 to get 28.

$$\frac{28}{5}-\frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{28}{5}-\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{28}{5}-\frac{14}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{28}{5} and \frac{14}{3} to fractions with denominator 15.

$$\frac{84}{15}-\frac{70}{15}$$

Since \frac{84}{15} and \frac{70}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{84-70}{15}$$

Subtract 70 from 84 to get 14.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$