Solve 3/4div1/2+1/8

$$\frac { 3 } { 4 } \div \frac { 1 } { 2 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{13}{8}=1.625$$

Solution Steps

Divide \frac{3}{4} by \frac{1}{2} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{2}.

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

Express \frac{3}{4}\times 2 as a single fraction.

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

Multiply 3 and 2 to get 6.

$$\frac{6}{4}+\frac{1}{8}$$

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

$$\frac{3}{2}+\frac{1}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{3}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{12}{8}+\frac{1}{8}$$

Since \frac{12}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{8}$$

Add 12 and 1 to get 13.

$$\frac{13}{8}$$

Factor

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$