Solve 5+7/frac{3{2}+9}

$$\frac { 5 + 7 } { \frac { 3 } { 2 } + 9 }$$

Evaluate

$$\frac{8}{7}\approx 1.142857143$$

Solution Steps

Add 5 and 7 to get 12.

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

Convert 9 to fraction \frac{18}{2}.

$$\frac{12}{\frac{3}{2}+\frac{18}{2}}$$

Since \frac{3}{2} and \frac{18}{2} have the same denominator, add them by adding their numerators.

$$\frac{12}{\frac{3+18}{2}}$$

Add 3 and 18 to get 21.

$$\frac{12}{\frac{21}{2}}$$

Divide 12 by \frac{21}{2} by multiplying 12 by the reciprocal of \frac{21}{2}.

$$12\times \frac{2}{21}$$

Express 12\times \frac{2}{21} as a single fraction.

$$\frac{12\times 2}{21}$$

Multiply 12 and 2 to get 24.

$$\frac{24}{21}$$

Reduce the fraction \frac{24}{21} to lowest terms by extracting and canceling out 3.

$$\frac{8}{7}$$

Factor

$$\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428$$