Solve 2/7-1/2*4/14-(1/2-frac{3}{4})=

$$\frac { 2 } { 7 } - \frac { 1 } { 2 } \cdot \frac { 4 } { 14 } - ( \frac { 1 } { 2 } - \frac { 3 } { 4 } ) =$$

Evaluate

$$\frac{11}{28}\approx 0.392857143$$

Solution Steps

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}-\frac{1}{2}\times \frac{2}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Multiply \frac{1}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{7}-\frac{1\times 2}{2\times 7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Cancel out 2 in both numerator and denominator.

$$\frac{2}{7}-\frac{1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Since \frac{2}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Subtract 1 from 2 to get 1.

$$\frac{1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

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

$$\frac{1}{7}-\left(\frac{2}{4}-\frac{3}{4}\right)$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{7}-\frac{2-3}{4}$$

Subtract 3 from 2 to get -1.

$$\frac{1}{7}-\left(-\frac{1}{4}\right)$$

The opposite of -\frac{1}{4} is \frac{1}{4}.

$$\frac{1}{7}+\frac{1}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{1}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{4}{28}+\frac{7}{28}$$

Since \frac{4}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{4+7}{28}$$

Add 4 and 7 to get 11.

$$\frac{11}{28}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$