Solve (365/90)*(100-98.56/100)

$$( \frac { 365 } { 90 } ) \times ( \frac { 100 - 98.56 } { 100 } )$$

Evaluate

$$0.0584$$

Solution Steps

Reduce the fraction \frac{365}{90} to lowest terms by extracting and canceling out 5.

$$\frac{73}{18}\times \frac{100-98.56}{100}$$

Subtract 98.56 from 100 to get 1.44.

$$\frac{73}{18}\times \frac{1.44}{100}$$

Expand \frac{1.44}{100} by multiplying both numerator and the denominator by 100.

$$\frac{73}{18}\times \frac{144}{10000}$$

Reduce the fraction \frac{144}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{73}{18}\times \frac{9}{625}$$

Multiply \frac{73}{18} times \frac{9}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{73\times 9}{18\times 625}$$

Do the multiplications in the fraction \frac{73\times 9}{18\times 625}.

$$\frac{657}{11250}$$

Reduce the fraction \frac{657}{11250} to lowest terms by extracting and canceling out 9.

$$\frac{73}{1250}$$

Factor

$$\frac{73}{2 \cdot 5 ^ {4}} = 0.0584$$