Solve (1-.045*200/365)

$$( 1 - .045 \times \frac { 200 } { 365 } )$$

Evaluate

$$\frac{356}{365}\approx 0.975342466$$

Solution Steps

Reduce the fraction \frac{200}{365} to lowest terms by extracting and canceling out 5.

$$1-0.045\times \frac{40}{73}$$

Convert decimal number 0.045 to fraction \frac{45}{1000}. Reduce the fraction \frac{45}{1000} to lowest terms by extracting and canceling out 5.

$$1-\frac{9}{200}\times \frac{40}{73}$$

Multiply \frac{9}{200} times \frac{40}{73} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{9\times 40}{200\times 73}$$

Do the multiplications in the fraction \frac{9\times 40}{200\times 73}.

$$1-\frac{360}{14600}$$

Reduce the fraction \frac{360}{14600} to lowest terms by extracting and canceling out 40.

$$1-\frac{9}{365}$$

Convert 1 to fraction \frac{365}{365}.

$$\frac{365}{365}-\frac{9}{365}$$

Since \frac{365}{365} and \frac{9}{365} have the same denominator, subtract them by subtracting their numerators.

$$\frac{365-9}{365}$$

Subtract 9 from 365 to get 356.

$$\frac{356}{365}$$

Factor

$$\frac{89 \cdot 2 ^ {2}}{5 \cdot 73} = 0.9753424657534246$$