Solve 1.7%(1-1.7%)*365div(25-10)

$$1.7 \% (1-1.7 \% ) \times 365 \div (25-10)$$

Evaluate

$$\frac{1219903}{3000000}\approx 0.406634333$$

Solution Steps

Expand \frac{1.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{17}{1000}\left(1-\frac{1.7}{100}\right)\times 365}{25-10}$$

Expand \frac{1.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{17}{1000}\left(1-\frac{17}{1000}\right)\times 365}{25-10}$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{\frac{17}{1000}\left(\frac{1000}{1000}-\frac{17}{1000}\right)\times 365}{25-10}$$

Since \frac{1000}{1000} and \frac{17}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{17}{1000}\times \frac{1000-17}{1000}\times 365}{25-10}$$

Subtract 17 from 1000 to get 983.

$$\frac{\frac{17}{1000}\times \frac{983}{1000}\times 365}{25-10}$$

Multiply \frac{17}{1000} times \frac{983}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{17\times 983}{1000\times 1000}\times 365}{25-10}$$

Do the multiplications in the fraction \frac{17\times 983}{1000\times 1000}.

$$\frac{\frac{16711}{1000000}\times 365}{25-10}$$

Express \frac{16711}{1000000}\times 365 as a single fraction.

$$\frac{\frac{16711\times 365}{1000000}}{25-10}$$

Multiply 16711 and 365 to get 6099515.

$$\frac{\frac{6099515}{1000000}}{25-10}$$

Reduce the fraction \frac{6099515}{1000000} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1219903}{200000}}{25-10}$$

Subtract 10 from 25 to get 15.

$$\frac{\frac{1219903}{200000}}{15}$$

Express \frac{\frac{1219903}{200000}}{15} as a single fraction.

$$\frac{1219903}{200000\times 15}$$

Multiply 200000 and 15 to get 3000000.

$$\frac{1219903}{3000000}$$

Factor

$$\frac{17 \cdot 73 \cdot 983}{3 \cdot 2 ^ {6} \cdot 5 ^ {6}} = 0.4066343333333333$$