Solve 3/10div(12/5+1/4)

$$\frac { 3 } { 10 } \div ( 1 \frac { 2 } { 5 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{2}{11}\approx 0.181818182$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{\frac{3}{10}}{\frac{5+2}{5}+\frac{1}{4}}$$

Add 5 and 2 to get 7.

$$\frac{\frac{3}{10}}{\frac{7}{5}+\frac{1}{4}}$$

Least common multiple of 5 and 4 is 20. Convert \frac{7}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{\frac{3}{10}}{\frac{28}{20}+\frac{5}{20}}$$

Since \frac{28}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3}{10}}{\frac{28+5}{20}}$$

Add 28 and 5 to get 33.

$$\frac{\frac{3}{10}}{\frac{33}{20}}$$

Divide \frac{3}{10} by \frac{33}{20} by multiplying \frac{3}{10} by the reciprocal of \frac{33}{20}.

$$\frac{3}{10}\times \frac{20}{33}$$

Multiply \frac{3}{10} times \frac{20}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 20}{10\times 33}$$

Do the multiplications in the fraction \frac{3\times 20}{10\times 33}.

$$\frac{60}{330}$$

Reduce the fraction \frac{60}{330} to lowest terms by extracting and canceling out 30.

$$\frac{2}{11}$$

Factor

$$\frac{2}{11} = 0.18181818181818182$$