Solve 1/2+3/4div2/3+1=

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

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

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

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

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

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

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

$$\frac{1}{2}+\frac{9}{8}+1$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{9}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

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

Add 4 and 9 to get 13.

$$\frac{13}{8}+1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{13}{8}+\frac{8}{8}$$

Since \frac{13}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.

$$\frac{13+8}{8}$$

Add 13 and 8 to get 21.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$