Solve -5/2-4/3*9/16=

$$- \frac { 5 } { 2 } - \frac { 4 } { 3 } \cdot \frac { 9 } { 16 } =$$

Evaluate

$$-\frac{13}{4}=-3.25$$

Solution Steps

Multiply \frac{4}{3} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{2}-\frac{4\times 9}{3\times 16}$$

Do the multiplications in the fraction \frac{4\times 9}{3\times 16}.

$$-\frac{5}{2}-\frac{36}{48}$$

Reduce the fraction \frac{36}{48} to lowest terms by extracting and canceling out 12.

$$-\frac{5}{2}-\frac{3}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{5}{2} and \frac{3}{4} to fractions with denominator 4.

$$-\frac{10}{4}-\frac{3}{4}$$

Since -\frac{10}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-3}{4}$$

Subtract 3 from -10 to get -13.

$$-\frac{13}{4}$$

Factor

$$-\frac{13}{4} = -3\frac{1}{4} = -3.25$$