Solve 1/4+3/4div2/3

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

Evaluate

$$\frac{11}{8}=1.375$$

Solution Steps

Divide \frac{3}{4} by \frac{2}{3} by multiplying \frac{3}{4} by the reciprocal of \frac{2}{3}.

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

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

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

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

$$\frac{1}{4}+\frac{9}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{2}{8}+\frac{9}{8}$$

Since \frac{2}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{8}$$

Add 2 and 9 to get 11.

$$\frac{11}{8}$$

Factor

$$\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375$$