Solve 27/8-11/4=

$$2 \frac { 7 } { 8 } - 1 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{13}{8}=1.625$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+7}{8}-\frac{1\times 4+1}{4}$$

Add 16 and 7 to get 23.

$$\frac{23}{8}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{23}{8}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{23}{8}-\frac{5}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{23}{8} and \frac{5}{4} to fractions with denominator 8.

$$\frac{23}{8}-\frac{10}{8}$$

Since \frac{23}{8} and \frac{10}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-10}{8}$$

Subtract 10 from 23 to get 13.

$$\frac{13}{8}$$

Factor

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$