Solve 11/18-4/9*3/16

$$\frac { 11 } { 18 } - \frac { 4 } { 9 } \cdot \frac { 3 } { 16 }$$

Evaluate

$$\frac{19}{36}\approx 0.527777778$$

Solution Steps

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

$$\frac{11}{18}-\frac{4\times 3}{9\times 16}$$

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

$$\frac{11}{18}-\frac{12}{144}$$

Reduce the fraction \frac{12}{144} to lowest terms by extracting and canceling out 12.

$$\frac{11}{18}-\frac{1}{12}$$

Least common multiple of 18 and 12 is 36. Convert \frac{11}{18} and \frac{1}{12} to fractions with denominator 36.

$$\frac{22}{36}-\frac{3}{36}$$

Since \frac{22}{36} and \frac{3}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-3}{36}$$

Subtract 3 from 22 to get 19.

$$\frac{19}{36}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3 ^ {2}} = 0.5277777777777778$$