Solve 1/3*1/4+1/4*1/5

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

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Multiply \frac{1}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{3\times 4}.

$$\frac{1}{12}+\frac{1}{4}\times \frac{1}{5}$$

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

$$\frac{1}{12}+\frac{1\times 1}{4\times 5}$$

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

$$\frac{1}{12}+\frac{1}{20}$$

Least common multiple of 12 and 20 is 60. Convert \frac{1}{12} and \frac{1}{20} to fractions with denominator 60.

$$\frac{5}{60}+\frac{3}{60}$$

Since \frac{5}{60} and \frac{3}{60} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{60}$$

Add 5 and 3 to get 8.

$$\frac{8}{60}$$

Reduce the fraction \frac{8}{60} to lowest terms by extracting and canceling out 4.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$