Solve 783/93+1080/720/frac{3{2}}

$$\frac { \frac { 783 } { 93 } + \frac { 1080 } { 720 } } { \frac { 3 } { 2 } }$$

Evaluate

$$\frac{205}{31}\approx 6.612903226$$

Solution Steps

Reduce the fraction \frac{783}{93} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{261}{31}+\frac{1080}{720}}{\frac{3}{2}}$$

Reduce the fraction \frac{1080}{720} to lowest terms by extracting and canceling out 360.

$$\frac{\frac{261}{31}+\frac{3}{2}}{\frac{3}{2}}$$

Least common multiple of 31 and 2 is 62. Convert \frac{261}{31} and \frac{3}{2} to fractions with denominator 62.

$$\frac{\frac{522}{62}+\frac{93}{62}}{\frac{3}{2}}$$

Since \frac{522}{62} and \frac{93}{62} have the same denominator, add them by adding their numerators.

$$\frac{\frac{522+93}{62}}{\frac{3}{2}}$$

Add 522 and 93 to get 615.

$$\frac{\frac{615}{62}}{\frac{3}{2}}$$

Divide \frac{615}{62} by \frac{3}{2} by multiplying \frac{615}{62} by the reciprocal of \frac{3}{2}.

$$\frac{615}{62}\times \frac{2}{3}$$

Multiply \frac{615}{62} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{615\times 2}{62\times 3}$$

Do the multiplications in the fraction \frac{615\times 2}{62\times 3}.

$$\frac{1230}{186}$$

Reduce the fraction \frac{1230}{186} to lowest terms by extracting and canceling out 6.

$$\frac{205}{31}$$

Factor

$$\frac{5 \cdot 41}{31} = 6\frac{19}{31} = 6.612903225806452$$