Solve 67/8-(21/2-12/4)

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

Evaluate

$$\frac{47}{8}=5.875$$

Solution Steps

Multiply 6 and 8 to get 48.

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

Add 48 and 7 to get 55.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{55}{8}-\left(\frac{5}{2}-\frac{1\times 4+2}{4}\right)$$

Multiply 1 and 4 to get 4.

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

Add 4 and 2 to get 6.

$$\frac{55}{8}-\left(\frac{5}{2}-\frac{6}{4}\right)$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{55}{8}-\left(\frac{5}{2}-\frac{3}{2}\right)$$

Since \frac{5}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55}{8}-\frac{5-3}{2}$$

Subtract 3 from 5 to get 2.

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

Divide 2 by 2 to get 1.

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

Convert 1 to fraction \frac{8}{8}.

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

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

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

Subtract 8 from 55 to get 47.

$$\frac{47}{8}$$

Factor

$$\frac{47}{2 ^ {3}} = 5\frac{7}{8} = 5.875$$