Solve 91/3-53/5

$$9 \frac { 1 } { 3 } - 5 \frac { 3 } { 5 }$$

Evaluate

$$\frac{56}{15}\approx 3.733333333$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+1}{3}-\frac{5\times 5+3}{5}$$

Add 27 and 1 to get 28.

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

Multiply 5 and 5 to get 25.

$$\frac{28}{3}-\frac{25+3}{5}$$

Add 25 and 3 to get 28.

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

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

$$\frac{140}{15}-\frac{84}{15}$$

Since \frac{140}{15} and \frac{84}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140-84}{15}$$

Subtract 84 from 140 to get 56.

$$\frac{56}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 \cdot 5} = 3\frac{11}{15} = 3.7333333333333334$$