Solve (3/5+1/2)div22/5

$$( \frac{ 3 }{ 5 } + \frac{ 1 }{ 2 } ) \div \frac{ 22 }{ 5 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{\frac{6}{10}+\frac{5}{10}}{\frac{22}{5}}$$

Since \frac{6}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6+5}{10}}{\frac{22}{5}}$$

Add 6 and 5 to get 11.

$$\frac{\frac{11}{10}}{\frac{22}{5}}$$

Divide \frac{11}{10} by \frac{22}{5} by multiplying \frac{11}{10} by the reciprocal of \frac{22}{5}.

$$\frac{11}{10}\times \frac{5}{22}$$

Multiply \frac{11}{10} times \frac{5}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{10\times 22}$$

Do the multiplications in the fraction \frac{11\times 5}{10\times 22}.

$$\frac{55}{220}$$

Reduce the fraction \frac{55}{220} to lowest terms by extracting and canceling out 55.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$