Solve 61/3-12/5

$$6 \frac { 1 } { 3 } - 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{74}{15}\approx 4.933333333$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+1}{3}-\frac{1\times 5+2}{5}$$

Add 18 and 1 to get 19.

$$\frac{19}{3}-\frac{1\times 5+2}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{19}{3}-\frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{19}{3}-\frac{7}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{19}{3} and \frac{7}{5} to fractions with denominator 15.

$$\frac{95}{15}-\frac{21}{15}$$

Since \frac{95}{15} and \frac{21}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-21}{15}$$

Subtract 21 from 95 to get 74.

$$\frac{74}{15}$$

Factor

$$\frac{2 \cdot 37}{3 \cdot 5} = 4\frac{14}{15} = 4.933333333333334$$