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

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{1}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{4\times 3}.

$$\frac{2}{12}+\frac{1}{4}\times \frac{4}{3}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

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

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

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

Cancel out 4 in both numerator and denominator.

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

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{1}{6}+\frac{2}{6}$$

Since \frac{1}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{6}$$

Add 1 and 2 to get 3.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$