Solve -7/40-8/15-23/60

$$- \frac{ 7 }{ 40 } - \frac{ 8 }{ 15 } - \frac{ 23 }{ 60 }$$

Evaluate

$$-\frac{131}{120}\approx -1.091666667$$

Solution Steps

Least common multiple of 40 and 15 is 120. Convert -\frac{7}{40} and \frac{8}{15} to fractions with denominator 120.

$$-\frac{21}{120}-\frac{64}{120}-\frac{23}{60}$$

Since -\frac{21}{120} and \frac{64}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-64}{120}-\frac{23}{60}$$

Subtract 64 from -21 to get -85.

$$\frac{-85}{120}-\frac{23}{60}$$

Reduce the fraction \frac{-85}{120} to lowest terms by extracting and canceling out 5.

$$-\frac{17}{24}-\frac{23}{60}$$

Least common multiple of 24 and 60 is 120. Convert -\frac{17}{24} and \frac{23}{60} to fractions with denominator 120.

$$-\frac{85}{120}-\frac{46}{120}$$

Since -\frac{85}{120} and \frac{46}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-85-46}{120}$$

Subtract 46 from -85 to get -131.

$$-\frac{131}{120}$$

Factor

$$-\frac{131}{120} = -1\frac{11}{120} = -1.0916666666666666$$