Solve 1/2-3/4*16/9

$$\frac { 1 } { 2 } - \frac { 3 } { 4 } \times \frac { 16 } { 9 }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

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

$$\frac{1}{2}-\frac{3\times 16}{4\times 9}$$

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

$$\frac{1}{2}-\frac{48}{36}$$

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

$$\frac{1}{2}-\frac{4}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{8}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{6}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$