Solve 55/8-27/4

$$5 \frac { 5 } { 8 } - 2 \frac { 7 } { 4 }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+5}{8}-\frac{2\times 4+7}{4}$$

Add 40 and 5 to get 45.

$$\frac{45}{8}-\frac{2\times 4+7}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{45}{8}-\frac{8+7}{4}$$

Add 8 and 7 to get 15.

$$\frac{45}{8}-\frac{15}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{45}{8} and \frac{15}{4} to fractions with denominator 8.

$$\frac{45}{8}-\frac{30}{8}$$

Since \frac{45}{8} and \frac{30}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-30}{8}$$

Subtract 30 from 45 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$