Solve 71/2*(3div5/9)

$$7 \frac { 1 } { 2 } \cdot ( 3 \div \frac { 5 } { 9 } )$$

Evaluate

$$\frac{81}{2}=40.5$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}\times \frac{3}{\frac{5}{9}}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}\times \frac{3}{\frac{5}{9}}$$

Divide 3 by \frac{5}{9} by multiplying 3 by the reciprocal of \frac{5}{9}.

$$\frac{15}{2}\times 3\times \frac{9}{5}$$

Express 3\times \frac{9}{5} as a single fraction.

$$\frac{15}{2}\times \frac{3\times 9}{5}$$

Multiply 3 and 9 to get 27.

$$\frac{15}{2}\times \frac{27}{5}$$

Multiply \frac{15}{2} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 27}{2\times 5}$$

Do the multiplications in the fraction \frac{15\times 27}{2\times 5}.

$$\frac{405}{10}$$

Reduce the fraction \frac{405}{10} to lowest terms by extracting and canceling out 5.

$$\frac{81}{2}$$

Factor

$$\frac{3 ^ {4}}{2} = 40\frac{1}{2} = 40.5$$