Solve 3/10*5/6+1/8*2/3=

$$\frac { 3 } { 10 } \cdot \frac { 5 } { 6 } + \frac { 1 } { 8 } \cdot \frac { 2 } { 3 } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply \frac{3}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{10\times 6}+\frac{1}{8}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 6}.

$$\frac{15}{60}+\frac{1}{8}\times \frac{2}{3}$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{1}{4}+\frac{1}{8}\times \frac{2}{3}$$

Multiply \frac{1}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}+\frac{1\times 2}{8\times 3}$$

Do the multiplications in the fraction \frac{1\times 2}{8\times 3}.

$$\frac{1}{4}+\frac{2}{24}$$

Reduce the fraction \frac{2}{24} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{1}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{1}{12} to fractions with denominator 12.

$$\frac{3}{12}+\frac{1}{12}$$

Since \frac{3}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{12}$$

Add 3 and 1 to get 4.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$