Solve 7/15+7/12+8/15-7/12=

$$\frac { 7 } { 15 } + \frac { 7 } { 12 } + \frac { 8 } { 15 } - \frac { 7 } { 12 } =$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 15 and 12 is 60. Convert \frac{7}{15} and \frac{7}{12} to fractions with denominator 60.

$$\frac{28}{60}+\frac{35}{60}+\frac{8}{15}-\frac{7}{12}$$

Since \frac{28}{60} and \frac{35}{60} have the same denominator, add them by adding their numerators.

$$\frac{28+35}{60}+\frac{8}{15}-\frac{7}{12}$$

Add 28 and 35 to get 63.

$$\frac{63}{60}+\frac{8}{15}-\frac{7}{12}$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$\frac{21}{20}+\frac{8}{15}-\frac{7}{12}$$

Least common multiple of 20 and 15 is 60. Convert \frac{21}{20} and \frac{8}{15} to fractions with denominator 60.

$$\frac{63}{60}+\frac{32}{60}-\frac{7}{12}$$

Since \frac{63}{60} and \frac{32}{60} have the same denominator, add them by adding their numerators.

$$\frac{63+32}{60}-\frac{7}{12}$$

Add 63 and 32 to get 95.

$$\frac{95}{60}-\frac{7}{12}$$

Reduce the fraction \frac{95}{60} to lowest terms by extracting and canceling out 5.

$$\frac{19}{12}-\frac{7}{12}$$

Since \frac{19}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-7}{12}$$

Subtract 7 from 19 to get 12.

$$\frac{12}{12}$$

Divide 12 by 12 to get 1.

$$1$$

Factor

$$1$$