Solve 9.70%10.8

$$9.70 \% 10.8$$

Evaluate

$$1.0476$$

Solution Steps

Expand \frac{9.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{97}{1000}\times 10.8$$

Convert decimal number 10.8 to fraction \frac{108}{10}. Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.

$$\frac{97}{1000}\times \frac{54}{5}$$

Multiply \frac{97}{1000} times \frac{54}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{97\times 54}{1000\times 5}$$

Do the multiplications in the fraction \frac{97\times 54}{1000\times 5}.

$$\frac{5238}{5000}$$

Reduce the fraction \frac{5238}{5000} to lowest terms by extracting and canceling out 2.

$$\frac{2619}{2500}$$

Factor

$$\frac{97 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {4}} = 1\frac{119}{2500} = 1.0476$$