Solve 2/3*5/6+1/4*5/6=

$$\frac{ 2 }{ 3 } \times \frac{ 5 }{ 6 } + \frac{ 1 }{ 4 } \times \frac{ 5 }{ 6 } =$$

Evaluate

$$\frac{55}{72}\approx 0.763888889$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{3\times 6}+\frac{1}{4}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 6}.

$$\frac{10}{18}+\frac{1}{4}\times \frac{5}{6}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}+\frac{1}{4}\times \frac{5}{6}$$

Multiply \frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{9}+\frac{1\times 5}{4\times 6}$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 6}.

$$\frac{5}{9}+\frac{5}{24}$$

Least common multiple of 9 and 24 is 72. Convert \frac{5}{9} and \frac{5}{24} to fractions with denominator 72.

$$\frac{40}{72}+\frac{15}{72}$$

Since \frac{40}{72} and \frac{15}{72} have the same denominator, add them by adding their numerators.

$$\frac{40+15}{72}$$

Add 40 and 15 to get 55.

$$\frac{55}{72}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3} \cdot 3 ^ {2}} = 0.7638888888888888$$