Solve 57/8-73/5-37/20=

$$5 \frac { 7 } { 8 } - 7 \frac { 3 } { 5 } - 3 \frac { 7 } { 20 } =$$

Evaluate

$$-\frac{203}{40}=-5.075$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+7}{8}-\frac{7\times 5+3}{5}-\frac{3\times 20+7}{20}$$

Add 40 and 7 to get 47.

$$\frac{47}{8}-\frac{7\times 5+3}{5}-\frac{3\times 20+7}{20}$$

Multiply 7 and 5 to get 35.

$$\frac{47}{8}-\frac{35+3}{5}-\frac{3\times 20+7}{20}$$

Add 35 and 3 to get 38.

$$\frac{47}{8}-\frac{38}{5}-\frac{3\times 20+7}{20}$$

Least common multiple of 8 and 5 is 40. Convert \frac{47}{8} and \frac{38}{5} to fractions with denominator 40.

$$\frac{235}{40}-\frac{304}{40}-\frac{3\times 20+7}{20}$$

Since \frac{235}{40} and \frac{304}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{235-304}{40}-\frac{3\times 20+7}{20}$$

Subtract 304 from 235 to get -69.

$$-\frac{69}{40}-\frac{3\times 20+7}{20}$$

Multiply 3 and 20 to get 60.

$$-\frac{69}{40}-\frac{60+7}{20}$$

Add 60 and 7 to get 67.

$$-\frac{69}{40}-\frac{67}{20}$$

Least common multiple of 40 and 20 is 40. Convert -\frac{69}{40} and \frac{67}{20} to fractions with denominator 40.

$$-\frac{69}{40}-\frac{134}{40}$$

Since -\frac{69}{40} and \frac{134}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-69-134}{40}$$

Subtract 134 from -69 to get -203.

$$-\frac{203}{40}$$

Factor

$$-\frac{203}{40} = -5\frac{3}{40} = -5.075$$