Solve 1/2div3/5+2/4

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Divide \frac{1}{2} by \frac{3}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{5}.

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

Multiply \frac{1}{2} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 5}{2\times 3}.

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

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

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

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}+\frac{3}{6}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{6}$$

Add 5 and 3 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$