Solve =22-0.15/2(16.37)

$$= 22 - \frac { 0.15 } { 2 } ( 16.37 )$$

Evaluate

$$20.77225$$

Solution Steps

Expand \frac{0.15}{2} by multiplying both numerator and the denominator by 100.

$$22-\frac{15}{200}\times 16.37$$

Reduce the fraction \frac{15}{200} to lowest terms by extracting and canceling out 5.

$$22-\frac{3}{40}\times 16.37$$

Convert decimal number 16.37 to fraction \frac{1637}{100}.

$$22-\frac{3}{40}\times \frac{1637}{100}$$

Multiply \frac{3}{40} times \frac{1637}{100} by multiplying numerator times numerator and denominator times denominator.

$$22-\frac{3\times 1637}{40\times 100}$$

Do the multiplications in the fraction \frac{3\times 1637}{40\times 100}.

$$22-\frac{4911}{4000}$$

Convert 22 to fraction \frac{88000}{4000}.

$$\frac{88000}{4000}-\frac{4911}{4000}$$

Since \frac{88000}{4000} and \frac{4911}{4000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88000-4911}{4000}$$

Subtract 4911 from 88000 to get 83089.

$$\frac{83089}{4000}$$

Factor

$$\frac{83089}{2 ^ {5} \cdot 5 ^ {3}} = 20\frac{3089}{4000} = 20.77225$$