Solve 1/4*5/6+5/6*1/6

$$1 / 4 \times 5 / 6 + 5 / 6 \times 1 / 6$$

Evaluate

$$\frac{25}{72}\approx 0.347222222$$

Solution Steps

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

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

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

$$\frac{5}{24}+\frac{5}{6}\times \frac{1}{6}$$

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

$$\frac{5}{24}+\frac{5\times 1}{6\times 6}$$

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

$$\frac{5}{24}+\frac{5}{36}$$

Least common multiple of 24 and 36 is 72. Convert \frac{5}{24} and \frac{5}{36} to fractions with denominator 72.

$$\frac{15}{72}+\frac{10}{72}$$

Since \frac{15}{72} and \frac{10}{72} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{72}$$

Add 15 and 10 to get 25.

$$\frac{25}{72}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 0.3472222222222222$$