Solve 5/6*25/96-3/4=

$$\frac { 5 } { 6 } \cdot \frac { 25 } { 96 } - \frac { 3 } { 4 } =$$

Evaluate

$$-\frac{307}{576}\approx -0.532986111$$

Solution Steps

Multiply \frac{5}{6} times \frac{25}{96} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 25}{6\times 96}-\frac{3}{4}$$

Do the multiplications in the fraction \frac{5\times 25}{6\times 96}.

$$\frac{125}{576}-\frac{3}{4}$$

Least common multiple of 576 and 4 is 576. Convert \frac{125}{576} and \frac{3}{4} to fractions with denominator 576.

$$\frac{125}{576}-\frac{432}{576}$$

Since \frac{125}{576} and \frac{432}{576} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-432}{576}$$

Subtract 432 from 125 to get -307.

$$-\frac{307}{576}$$

Factor

$$-\frac{307}{576} = -0.5329861111111112$$