Solve 11/14-11/14*2/9

$$1 \frac{ 1 }{ 14 } -1 \frac{ 1 }{ 14 } \times \frac{ 2 }{ 9 }$$

Evaluate

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

Solution Steps

Multiply 1 and 14 to get 14.

$$\frac{14+1}{14}-\frac{1\times 14+1}{14}\times \frac{2}{9}$$

Add 14 and 1 to get 15.

$$\frac{15}{14}-\frac{1\times 14+1}{14}\times \frac{2}{9}$$

Multiply 1 and 14 to get 14.

$$\frac{15}{14}-\frac{14+1}{14}\times \frac{2}{9}$$

Add 14 and 1 to get 15.

$$\frac{15}{14}-\frac{15}{14}\times \frac{2}{9}$$

Multiply \frac{15}{14} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{14}-\frac{15\times 2}{14\times 9}$$

Do the multiplications in the fraction \frac{15\times 2}{14\times 9}.

$$\frac{15}{14}-\frac{30}{126}$$

Reduce the fraction \frac{30}{126} to lowest terms by extracting and canceling out 6.

$$\frac{15}{14}-\frac{5}{21}$$

Least common multiple of 14 and 21 is 42. Convert \frac{15}{14} and \frac{5}{21} to fractions with denominator 42.

$$\frac{45}{42}-\frac{10}{42}$$

Since \frac{45}{42} and \frac{10}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-10}{42}$$

Subtract 10 from 45 to get 35.

$$\frac{35}{42}$$

Reduce the fraction \frac{35}{42} to lowest terms by extracting and canceling out 7.

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

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$