Solve -57/8-35/12--94/15

$$-5 \frac{ 7 }{ 8 } -3 \frac{ 5 }{ 12 } --9 \frac{ 4 }{ 15 }$$

Evaluate

$$-\frac{1}{40}=-0.025$$

Solution Steps

Multiply 5 and 8 to get 40.

$$-\frac{40+7}{8}-\frac{3\times 12+5}{12}-\left(-\frac{9\times 15+4}{15}\right)$$

Add 40 and 7 to get 47.

$$-\frac{47}{8}-\frac{3\times 12+5}{12}-\left(-\frac{9\times 15+4}{15}\right)$$

Multiply 3 and 12 to get 36.

$$-\frac{47}{8}-\frac{36+5}{12}-\left(-\frac{9\times 15+4}{15}\right)$$

Add 36 and 5 to get 41.

$$-\frac{47}{8}-\frac{41}{12}-\left(-\frac{9\times 15+4}{15}\right)$$

Least common multiple of 8 and 12 is 24. Convert -\frac{47}{8} and \frac{41}{12} to fractions with denominator 24.

$$-\frac{141}{24}-\frac{82}{24}-\left(-\frac{9\times 15+4}{15}\right)$$

Since -\frac{141}{24} and \frac{82}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-141-82}{24}-\left(-\frac{9\times 15+4}{15}\right)$$

Subtract 82 from -141 to get -223.

$$-\frac{223}{24}-\left(-\frac{9\times 15+4}{15}\right)$$

Multiply 9 and 15 to get 135.

$$-\frac{223}{24}-\left(-\frac{135+4}{15}\right)$$

Add 135 and 4 to get 139.

$$-\frac{223}{24}-\left(-\frac{139}{15}\right)$$

The opposite of -\frac{139}{15} is \frac{139}{15}.

$$-\frac{223}{24}+\frac{139}{15}$$

Least common multiple of 24 and 15 is 120. Convert -\frac{223}{24} and \frac{139}{15} to fractions with denominator 120.

$$-\frac{1115}{120}+\frac{1112}{120}$$

Since -\frac{1115}{120} and \frac{1112}{120} have the same denominator, add them by adding their numerators.

$$\frac{-1115+1112}{120}$$

Add -1115 and 1112 to get -3.

$$\frac{-3}{120}$$

Reduce the fraction \frac{-3}{120} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{40}$$

Factor

$$-\frac{1}{40} = -0.025$$