Solve 5.3*1000/106*100

$$5.3 \times \frac{ 1000 }{ 106 \times 100 }$$

Evaluate

$$0.5$$

Solution Steps

Multiply 106 and 100 to get 10600.

$$5.3\times \frac{1000}{10600}$$

Reduce the fraction \frac{1000}{10600} to lowest terms by extracting and canceling out 200.

$$5.3\times \frac{5}{53}$$

Convert decimal number 5.3 to fraction \frac{53}{10}.

$$\frac{53}{10}\times \frac{5}{53}$$

Multiply \frac{53}{10} times \frac{5}{53} by multiplying numerator times numerator and denominator times denominator.

$$\frac{53\times 5}{10\times 53}$$

Cancel out 53 in both numerator and denominator.

$$\frac{5}{10}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$