Solve 1/2*37/9div2/9

$$\frac{ 1 }{ 2 } \times 3 \frac { 7 } { 9 } \div \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{\frac{1}{2}\times \frac{27+7}{9}}{\frac{2}{9}}$$

Add 27 and 7 to get 34.

$$\frac{\frac{1}{2}\times \frac{34}{9}}{\frac{2}{9}}$$

Multiply \frac{1}{2} times \frac{34}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 34}{2\times 9}}{\frac{2}{9}}$$

Do the multiplications in the fraction \frac{1\times 34}{2\times 9}.

$$\frac{\frac{34}{18}}{\frac{2}{9}}$$

Reduce the fraction \frac{34}{18} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{17}{9}}{\frac{2}{9}}$$

Divide \frac{17}{9} by \frac{2}{9} by multiplying \frac{17}{9} by the reciprocal of \frac{2}{9}.

$$\frac{17}{9}\times \frac{9}{2}$$

Multiply \frac{17}{9} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 9}{9\times 2}$$

Cancel out 9 in both numerator and denominator.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$