Solve 53/8-27/8=

$$5 \frac { 3 } { 8 } - 2 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}-\frac{2\times 8+7}{8}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}-\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{43}{8}-\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{43}{8}-\frac{23}{8}$$

Since \frac{43}{8} and \frac{23}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-23}{8}$$

Subtract 23 from 43 to get 20.

$$\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$