Solve (1/2+0.4)div3/5

$$( \frac{ 1 }{ 2 } +0.4) \div \frac{ 3 }{ 5 }$$

Evaluate

$$1.5$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

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

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

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

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

Add 5 and 4 to get 9.

$$\frac{\frac{9}{10}}{\frac{3}{5}}$$

Divide \frac{9}{10} by \frac{3}{5} by multiplying \frac{9}{10} by the reciprocal of \frac{3}{5}.

$$\frac{9}{10}\times \frac{5}{3}$$

Multiply \frac{9}{10} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{10\times 3}$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 3}.

$$\frac{45}{30}$$

Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$