Solve (1/2)*1/3+1/4*1/3

$$( \frac { 1 } { 2 } ) \cdot \frac { 1 } { 3 } + \frac { 1 } { 4 } \cdot \frac { 1 } { 3 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

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

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

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

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

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

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

$$\frac{1}{6}+\frac{1}{12}$$

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

$$\frac{2}{12}+\frac{1}{12}$$

Since \frac{2}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{12}$$

Add 2 and 1 to get 3.

$$\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$