Solve 1/2+3/4:1/8=

$$\frac { 1 } { 2 } + \frac { 3 } { 4 } : \frac { 1 } { 8 } =$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Divide \frac{3}{4} by \frac{1}{8} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{8}.

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

Express \frac{3}{4}\times 8 as a single fraction.

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

Multiply 3 and 8 to get 24.

$$\frac{1}{2}+\frac{24}{4}$$

Divide 24 by 4 to get 6.

$$\frac{1}{2}+6$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{1}{2}+\frac{12}{2}$$

Since \frac{1}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+12}{2}$$

Add 1 and 12 to get 13.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$