Solve (5/12+1/6)*5/6=

$$( \frac { 5 } { 12 } + \frac { 1 } { 6 } ) \times \frac { 5 } { 6 } =$$

Evaluate

$$\frac{35}{72}\approx 0.486111111$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{1}{6} to fractions with denominator 12.

$$\left(\frac{5}{12}+\frac{2}{12}\right)\times \frac{5}{6}$$

Since \frac{5}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{12}\times \frac{5}{6}$$

Add 5 and 2 to get 7.

$$\frac{7}{12}\times \frac{5}{6}$$

Multiply \frac{7}{12} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{12\times 6}$$

Do the multiplications in the fraction \frac{7\times 5}{12\times 6}.

$$\frac{35}{72}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3} \cdot 3 ^ {2}} = 0.4861111111111111$$