Solve 120/30+7/3-2/10=

$$\frac { 120 } { 30 } + \frac { 7 } { 3 } - \frac { 2 } { 10 } =$$

Evaluate

$$\frac{92}{15}\approx 6.133333333$$

Solution Steps

Divide 120 by 30 to get 4.

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

Convert 4 to fraction \frac{12}{3}.

$$\frac{12}{3}+\frac{7}{3}-\frac{2}{10}$$

Since \frac{12}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{12+7}{3}-\frac{2}{10}$$

Add 12 and 7 to get 19.

$$\frac{19}{3}-\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{3}-\frac{1}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{19}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{95}{15}-\frac{3}{15}$$

Since \frac{95}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-3}{15}$$

Subtract 3 from 95 to get 92.

$$\frac{92}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 23}{3 \cdot 5} = 6\frac{2}{15} = 6.133333333333334$$