Solve 2/5/frac{4{3}}+1/2

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

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Divide \frac{2}{5} by \frac{4}{3} by multiplying \frac{2}{5} by the reciprocal of \frac{4}{3}.

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

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

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

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

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

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

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

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

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

Since \frac{3}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

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

Add 3 and 5 to get 8.

$$\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$