Solve -3/4*(17/3-1/25)

$$- \frac{ 3 }{ 4 } \times ( \frac{ 17 }{ 3 } - \frac{ 1 }{ 25 } )$$

Evaluate

$$-\frac{211}{50}=-4.22$$

Solution Steps

Least common multiple of 3 and 25 is 75. Convert \frac{17}{3} and \frac{1}{25} to fractions with denominator 75.

$$-\frac{3}{4}\left(\frac{425}{75}-\frac{3}{75}\right)$$

Since \frac{425}{75} and \frac{3}{75} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}\times \frac{425-3}{75}$$

Subtract 3 from 425 to get 422.

$$-\frac{3}{4}\times \frac{422}{75}$$

Multiply -\frac{3}{4} times \frac{422}{75} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 422}{4\times 75}$$

Do the multiplications in the fraction \frac{-3\times 422}{4\times 75}.

$$\frac{-1266}{300}$$

Reduce the fraction \frac{-1266}{300} to lowest terms by extracting and canceling out 6.

$$-\frac{211}{50}$$

Factor

$$-\frac{211}{50} = -4\frac{11}{50} = -4.22$$