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

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

Evaluate

$$\frac{23}{8}=2.875$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+7}{8}-\frac{2\times 2+1}{2}-\frac{1\times 4+2}{4}$$

Add 48 and 7 to get 55.

$$\frac{55}{8}-\frac{2\times 2+1}{2}-\frac{1\times 4+2}{4}$$

Multiply 2 and 2 to get 4.

$$\frac{55}{8}-\frac{4+1}{2}-\frac{1\times 4+2}{4}$$

Add 4 and 1 to get 5.

$$\frac{55}{8}-\frac{5}{2}-\frac{1\times 4+2}{4}$$

Least common multiple of 8 and 2 is 8. Convert \frac{55}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{55}{8}-\frac{20}{8}-\frac{1\times 4+2}{4}$$

Since \frac{55}{8} and \frac{20}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-20}{8}-\frac{1\times 4+2}{4}$$

Subtract 20 from 55 to get 35.

$$\frac{35}{8}-\frac{1\times 4+2}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{35}{8}-\frac{4+2}{4}$$

Add 4 and 2 to get 6.

$$\frac{35}{8}-\frac{6}{4}$$

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

$$\frac{35}{8}-\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{35}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{35}{8}-\frac{12}{8}$$

Since \frac{35}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{8}$$

Subtract 12 from 35 to get 23.

$$\frac{23}{8}$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$