Solve 100(0.11%)*365

$$100(0.11 \% ) \times 365$$

Evaluate

$$40.15$$

Solution Steps

Expand \frac{0.11}{100} by multiplying both numerator and the denominator by 100.

$$100\times \frac{11}{10000}\times 365$$

Express 100\times \frac{11}{10000} as a single fraction.

$$\frac{100\times 11}{10000}\times 365$$

Multiply 100 and 11 to get 1100.

$$\frac{1100}{10000}\times 365$$

Reduce the fraction \frac{1100}{10000} to lowest terms by extracting and canceling out 100.

$$\frac{11}{100}\times 365$$

Express \frac{11}{100}\times 365 as a single fraction.

$$\frac{11\times 365}{100}$$

Multiply 11 and 365 to get 4015.

$$\frac{4015}{100}$$

Reduce the fraction \frac{4015}{100} to lowest terms by extracting and canceling out 5.

$$\frac{803}{20}$$

Factor

$$\frac{11 \cdot 73}{5 \cdot 2 ^ {2}} = 40\frac{3}{20} = 40.15$$