Solve 51/3-31/5=

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

Evaluate

$$\frac{32}{15}\approx 2.133333333$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+1}{3}-\frac{3\times 5+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{16}{3}-\frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{16}{3}-\frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{16}{3}-\frac{16}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{16}{3} and \frac{16}{5} to fractions with denominator 15.

$$\frac{80}{15}-\frac{48}{15}$$

Since \frac{80}{15} and \frac{48}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-48}{15}$$

Subtract 48 from 80 to get 32.

$$\frac{32}{15}$$

Factor

$$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$$