Solve 1/44-1/60-1/48

$$\frac { 1 } { 44 } - \frac { 1 } { 60 } - \frac { 1 } { 48 }$$

Evaluate

$$-\frac{13}{880}\approx -0.014772727$$

Solution Steps

Least common multiple of 44 and 60 is 660. Convert \frac{1}{44} and \frac{1}{60} to fractions with denominator 660.

$$\frac{15}{660}-\frac{11}{660}-\frac{1}{48}$$

Since \frac{15}{660} and \frac{11}{660} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-11}{660}-\frac{1}{48}$$

Subtract 11 from 15 to get 4.

$$\frac{4}{660}-\frac{1}{48}$$

Reduce the fraction \frac{4}{660} to lowest terms by extracting and canceling out 4.

$$\frac{1}{165}-\frac{1}{48}$$

Least common multiple of 165 and 48 is 2640. Convert \frac{1}{165} and \frac{1}{48} to fractions with denominator 2640.

$$\frac{16}{2640}-\frac{55}{2640}$$

Since \frac{16}{2640} and \frac{55}{2640} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-55}{2640}$$

Subtract 55 from 16 to get -39.

$$\frac{-39}{2640}$$

Reduce the fraction \frac{-39}{2640} to lowest terms by extracting and canceling out 3.

$$-\frac{13}{880}$$

Factor

$$-\frac{13}{880} = -0.014772727272727272$$