Solve 1/4+3/20/frac{1{2}}20/20

$$\frac { \frac { 1 } { 4 } + \frac { 3 } { 20 } } { \frac { 1 } { 2 } } \frac { 20 } { 20 }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Divide 20 by 20 to get 1.

$$\frac{\frac{1}{4}+\frac{3}{20}}{\frac{1}{2}}\times 1$$

Least common multiple of 4 and 20 is 20. Convert \frac{1}{4} and \frac{3}{20} to fractions with denominator 20.

$$\frac{\frac{5}{20}+\frac{3}{20}}{\frac{1}{2}}\times 1$$

Since \frac{5}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+3}{20}}{\frac{1}{2}}\times 1$$

Add 5 and 3 to get 8.

$$\frac{\frac{8}{20}}{\frac{1}{2}}\times 1$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2}{5}}{\frac{1}{2}}\times 1$$

Divide \frac{2}{5} by \frac{1}{2} by multiplying \frac{2}{5} by the reciprocal of \frac{1}{2}.

$$\frac{2}{5}\times 2\times 1$$

Express \frac{2}{5}\times 2 as a single fraction.

$$\frac{2\times 2}{5}\times 1$$

Multiply 2 and 2 to get 4.

$$\frac{4}{5}\times 1$$

Multiply \frac{4}{5} and 1 to get \frac{4}{5}.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$