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

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

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

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

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

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

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

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{2}{12}+\frac{1}{3}$$

Since \frac{9}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{12}+\frac{1}{3}$$

Add 9 and 2 to get 11.

$$\frac{11}{12}+\frac{1}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{11}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{11}{12}+\frac{4}{12}$$

Since \frac{11}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+4}{12}$$

Add 11 and 4 to get 15.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$