Solve 11/2+21/4-35/8

$$1 \frac { 1 } { 2 } + 2 \frac { 1 } { 4 } - 3 \frac { 5 } { 8 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}+\frac{2\times 4+1}{4}-\frac{3\times 8+5}{8}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+\frac{2\times 4+1}{4}-\frac{3\times 8+5}{8}$$

Multiply 2 and 4 to get 8.

$$\frac{3}{2}+\frac{8+1}{4}-\frac{3\times 8+5}{8}$$

Add 8 and 1 to get 9.

$$\frac{3}{2}+\frac{9}{4}-\frac{3\times 8+5}{8}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{9}{4}-\frac{3\times 8+5}{8}$$

Since \frac{6}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+9}{4}-\frac{3\times 8+5}{8}$$

Add 6 and 9 to get 15.

$$\frac{15}{4}-\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{15}{4}-\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{15}{4}-\frac{29}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{29}{8} to fractions with denominator 8.

$$\frac{30}{8}-\frac{29}{8}$$

Since \frac{30}{8} and \frac{29}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-29}{8}$$

Subtract 29 from 30 to get 1.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$