Solve (1/4+1/5)div4/10

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

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

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

$$\frac{\frac{5}{20}+\frac{4}{20}}{\frac{4}{10}}$$

Since \frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+4}{20}}{\frac{4}{10}}$$

Add 5 and 4 to get 9.

$$\frac{\frac{9}{20}}{\frac{4}{10}}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{20}}{\frac{2}{5}}$$

Divide \frac{9}{20} by \frac{2}{5} by multiplying \frac{9}{20} by the reciprocal of \frac{2}{5}.

$$\frac{9}{20}\times \frac{5}{2}$$

Multiply \frac{9}{20} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{20\times 2}$$

Do the multiplications in the fraction \frac{9\times 5}{20\times 2}.

$$\frac{45}{40}$$

Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$