Solve (2/5+27/70)*1/2

$$( \frac { 2 } { 5 } + \frac { 27 } { 70 } ) \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{11}{28}\approx 0.392857143$$

Solution Steps

Least common multiple of 5 and 70 is 70. Convert \frac{2}{5} and \frac{27}{70} to fractions with denominator 70.

$$\left(\frac{28}{70}+\frac{27}{70}\right)\times \frac{1}{2}$$

Since \frac{28}{70} and \frac{27}{70} have the same denominator, add them by adding their numerators.

$$\frac{28+27}{70}\times \frac{1}{2}$$

Add 28 and 27 to get 55.

$$\frac{55}{70}\times \frac{1}{2}$$

Reduce the fraction \frac{55}{70} to lowest terms by extracting and canceling out 5.

$$\frac{11}{14}\times \frac{1}{2}$$

Multiply \frac{11}{14} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{14\times 2}$$

Do the multiplications in the fraction \frac{11\times 1}{14\times 2}.

$$\frac{11}{28}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$