Solve 15/30+12/30+60/30-5/30=

$$\frac { 15 } { 30 } + \frac { 12 } { 30 } + \frac { 60 } { 30 } - \frac { 5 } { 30 } =$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Reduce the fraction \frac{15}{30} to lowest terms by extracting and canceling out 15.

$$\frac{1}{2}+\frac{12}{30}+\frac{60}{30}-\frac{5}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}+\frac{2}{5}+\frac{60}{30}-\frac{5}{30}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{4}{10}+\frac{60}{30}-\frac{5}{30}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}+\frac{60}{30}-\frac{5}{30}$$

Add 5 and 4 to get 9.

$$\frac{9}{10}+\frac{60}{30}-\frac{5}{30}$$

Divide 60 by 30 to get 2.

$$\frac{9}{10}+2-\frac{5}{30}$$

Convert 2 to fraction \frac{20}{10}.

$$\frac{9}{10}+\frac{20}{10}-\frac{5}{30}$$

Since \frac{9}{10} and \frac{20}{10} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{10}-\frac{5}{30}$$

Add 9 and 20 to get 29.

$$\frac{29}{10}-\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{29}{10}-\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{29}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{87}{30}-\frac{5}{30}$$

Since \frac{87}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-5}{30}$$

Subtract 5 from 87 to get 82.

$$\frac{82}{30}$$

Reduce the fraction \frac{82}{30} to lowest terms by extracting and canceling out 2.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$