Solve 3/4*2/5+1/4div5/2

$$\frac { 3 } { 4 } \times \frac { 2 } { 5 } + \frac { 1 } { 4 } \div \frac { 5 } { 2 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{6}{20}+\frac{\frac{1}{4}}{\frac{5}{2}}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

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

Divide \frac{1}{4} by \frac{5}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{5}{2}.

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

Multiply \frac{1}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{4\times 5}.

$$\frac{3}{10}+\frac{2}{20}$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

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

Since \frac{3}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

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

Add 3 and 1 to get 4.

$$\frac{4}{10}$$

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

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$