Solve 216div432*76.9=

$$216 \div 432 \times 76.9=$$

Evaluate

$$38.45$$

Solution Steps

Reduce the fraction \frac{216}{432} to lowest terms by extracting and canceling out 216.

$$\frac{1}{2}\times 76.9$$

Convert decimal number 76.9 to fraction \frac{769}{10}.

$$\frac{1}{2}\times \frac{769}{10}$$

Multiply \frac{1}{2} times \frac{769}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 769}{2\times 10}$$

Do the multiplications in the fraction \frac{1\times 769}{2\times 10}.

$$\frac{769}{20}$$

Factor

$$\frac{769}{5 \cdot 2 ^ {2}} = 38\frac{9}{20} = 38.45$$