Solve 1/2-2/3*1/3+(-3/4)=

$$\frac { 1 } { 2 } - \frac { 2 } { 3 } \cdot \frac { 1 } { 3 } + ( - \frac { 3 } { 4 } ) =$$

Evaluate

$$-\frac{17}{36}\approx -0.472222222$$

Solution Steps

Multiply \frac{2}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 1}{3\times 3}.

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

Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{2}{9} to fractions with denominator 18.

$$\frac{9}{18}-\frac{4}{18}-\frac{3}{4}$$

Since \frac{9}{18} and \frac{4}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{18}-\frac{3}{4}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{18}-\frac{3}{4}$$

Least common multiple of 18 and 4 is 36. Convert \frac{5}{18} and \frac{3}{4} to fractions with denominator 36.

$$\frac{10}{36}-\frac{27}{36}$$

Since \frac{10}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-27}{36}$$

Subtract 27 from 10 to get -17.

$$-\frac{17}{36}$$

Factor

$$-\frac{17}{36} = -0.4722222222222222$$