Solve 86/8-49/8

$$8 \frac { 6 } { 8 } - 4 \frac { 9 } { 8 }$$

Evaluate

$$\frac{29}{8}=3.625$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+6}{8}-\frac{4\times 8+9}{8}$$

Add 64 and 6 to get 70.

$$\frac{70}{8}-\frac{4\times 8+9}{8}$$

Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.

$$\frac{35}{4}-\frac{4\times 8+9}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{35}{4}-\frac{32+9}{8}$$

Add 32 and 9 to get 41.

$$\frac{35}{4}-\frac{41}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{35}{4} and \frac{41}{8} to fractions with denominator 8.

$$\frac{70}{8}-\frac{41}{8}$$

Since \frac{70}{8} and \frac{41}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-41}{8}$$

Subtract 41 from 70 to get 29.

$$\frac{29}{8}$$

Factor

$$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$$