Solve 10/3+7/5-2/4=

$$\frac { 10 } { 3 } + \frac { 7 } { 5 } - \frac { 2 } { 4 } =$$

Evaluate

$$\frac{127}{30}\approx 4.233333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{10}{3} and \frac{7}{5} to fractions with denominator 15.

$$\frac{50}{15}+\frac{21}{15}-\frac{2}{4}$$

Since \frac{50}{15} and \frac{21}{15} have the same denominator, add them by adding their numerators.

$$\frac{50+21}{15}-\frac{2}{4}$$

Add 50 and 21 to get 71.

$$\frac{71}{15}-\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{71}{15}-\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{71}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{142}{30}-\frac{15}{30}$$

Since \frac{142}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{142-15}{30}$$

Subtract 15 from 142 to get 127.

$$\frac{127}{30}$$

Factor

$$\frac{127}{2 \cdot 3 \cdot 5} = 4\frac{7}{30} = 4.233333333333333$$