Solve 67/8-(21/2-2/4)

$$6 \frac { 7 } { 8 } - ( 2 \frac { 1 } { 2 } - \frac { 2 } { 4 } )$$

Evaluate

$$\frac{39}{8}=4.875$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+7}{8}-\left(\frac{2\times 2+1}{2}-\frac{2}{4}\right)$$

Add 48 and 7 to get 55.

$$\frac{55}{8}-\left(\frac{2\times 2+1}{2}-\frac{2}{4}\right)$$

Multiply 2 and 2 to get 4.

$$\frac{55}{8}-\left(\frac{4+1}{2}-\frac{2}{4}\right)$$

Add 4 and 1 to get 5.

$$\frac{55}{8}-\left(\frac{5}{2}-\frac{2}{4}\right)$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{55}{8}-\left(\frac{5}{2}-\frac{1}{2}\right)$$

Since \frac{5}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55}{8}-\frac{5-1}{2}$$

Subtract 1 from 5 to get 4.

$$\frac{55}{8}-\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$\frac{55}{8}-2$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{55}{8}-\frac{16}{8}$$

Since \frac{55}{8} and \frac{16}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-16}{8}$$

Subtract 16 from 55 to get 39.

$$\frac{39}{8}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$