Solve 3/10/frac{3{10}+1/2}

$$\frac { \frac { 3 } { 10 } } { \frac { 3 } { 10 } + \frac { 1 } { 2 } }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Least common multiple of 10 and 2 is 10. Convert \frac{3}{10} and \frac{1}{2} to fractions with denominator 10.

$$\frac{\frac{3}{10}}{\frac{3}{10}+\frac{5}{10}}$$

Since \frac{3}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3}{10}}{\frac{3+5}{10}}$$

Add 3 and 5 to get 8.

$$\frac{\frac{3}{10}}{\frac{8}{10}}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{10}}{\frac{4}{5}}$$

Divide \frac{3}{10} by \frac{4}{5} by multiplying \frac{3}{10} by the reciprocal of \frac{4}{5}.

$$\frac{3}{10}\times \frac{5}{4}$$

Multiply \frac{3}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{10\times 4}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 4}.

$$\frac{15}{40}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$