Solve =1/2(27.4)(0.5)(0.642)/(0.939)

$$= \frac { 1 } { 2 } \frac { ( 27.4 ) ( 0.5 ) ( 0.642 ) } { ( 0.939 ) }$$

Evaluate

$$\frac{14659}{3130}\approx 4.683386581$$

Solution Steps

Multiply 27.4 and 0.5 to get 13.7.

$$\frac{1}{2}\times \frac{13.7\times 0.642}{0.939}$$

Multiply 13.7 and 0.642 to get 8.7954.

$$\frac{1}{2}\times \frac{8.7954}{0.939}$$

Expand \frac{8.7954}{0.939} by multiplying both numerator and the denominator by 10000.

$$\frac{1}{2}\times \frac{87954}{9390}$$

Reduce the fraction \frac{87954}{9390} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}\times \frac{14659}{1565}$$

Multiply \frac{1}{2} times \frac{14659}{1565} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 14659}{2\times 1565}$$

Do the multiplications in the fraction \frac{1\times 14659}{2\times 1565}.

$$\frac{14659}{3130}$$

Factor

$$\frac{107 \cdot 137}{2 \cdot 5 \cdot 313} = 4\frac{2139}{3130} = 4.683386581469649$$