Solve 5/9(1/2+1/4)

$$\frac { 5 } { 9 } ( \frac { 1 } { 2 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{5}{9}\left(\frac{2}{4}+\frac{1}{4}\right)$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{5}{9}\times \frac{2+1}{4}$$

Add 2 and 1 to get 3.

$$\frac{5}{9}\times \frac{3}{4}$$

Multiply \frac{5}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{9\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{9\times 4}.

$$\frac{15}{36}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$