Solve 2/15-42/40+47/60=

$$\frac { 2 } { 15 } - 4 \frac { 2 } { 40 } + \frac { 47 } { 60 } =$$

Evaluate

$$-\frac{47}{15}\approx -3.133333333$$

Solution Steps

Multiply 4 and 40 to get 160.

$$\frac{2}{15}-\frac{160+2}{40}+\frac{47}{60}$$

Add 160 and 2 to get 162.

$$\frac{2}{15}-\frac{162}{40}+\frac{47}{60}$$

Reduce the fraction \frac{162}{40} to lowest terms by extracting and canceling out 2.

$$\frac{2}{15}-\frac{81}{20}+\frac{47}{60}$$

Least common multiple of 15 and 20 is 60. Convert \frac{2}{15} and \frac{81}{20} to fractions with denominator 60.

$$\frac{8}{60}-\frac{243}{60}+\frac{47}{60}$$

Since \frac{8}{60} and \frac{243}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-243}{60}+\frac{47}{60}$$

Subtract 243 from 8 to get -235.

$$\frac{-235}{60}+\frac{47}{60}$$

Reduce the fraction \frac{-235}{60} to lowest terms by extracting and canceling out 5.

$$-\frac{47}{12}+\frac{47}{60}$$

Least common multiple of 12 and 60 is 60. Convert -\frac{47}{12} and \frac{47}{60} to fractions with denominator 60.

$$-\frac{235}{60}+\frac{47}{60}$$

Since -\frac{235}{60} and \frac{47}{60} have the same denominator, add them by adding their numerators.

$$\frac{-235+47}{60}$$

Add -235 and 47 to get -188.

$$\frac{-188}{60}$$

Reduce the fraction \frac{-188}{60} to lowest terms by extracting and canceling out 4.

$$-\frac{47}{15}$$

Factor

$$-\frac{47}{15} = -3\frac{2}{15} = -3.1333333333333333$$