Solve 2/3-1/2*21/6+x

$$\frac { 2 } { 3 } - \frac { 1 } { 2 } \times 2 \frac { 1 } { 6 } + x$$

Evaluate

$$x = -\frac{5}{12} = -0.4166666666666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{2}{3}-\frac{1}{2}\times \frac{12+1}{6}+x$$

Add 12 and 1 to get 13.

$$\frac{2}{3}-\frac{1}{2}\times \frac{13}{6}+x$$

Multiply \frac{1}{2} times \frac{13}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{1\times 13}{2\times 6}+x$$

Do the multiplications in the fraction \frac{1\times 13}{2\times 6}.

$$\frac{2}{3}-\frac{13}{12}+x$$

Least common multiple of 3 and 12 is 12. Convert \frac{2}{3} and \frac{13}{12} to fractions with denominator 12.

$$\frac{8}{12}-\frac{13}{12}+x$$

Since \frac{8}{12} and \frac{13}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-13}{12}+x$$

Subtract 13 from 8 to get -5.

$$-\frac{5}{12}+x$$

Expand

$$x = -\frac{5}{12} = -0.4166666666666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{2}{3}-\frac{1}{2}\times \frac{12+1}{6}+x$$

Add 12 and 1 to get 13.

$$\frac{2}{3}-\frac{1}{2}\times \frac{13}{6}+x$$

Multiply \frac{1}{2} times \frac{13}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{1\times 13}{2\times 6}+x$$

Do the multiplications in the fraction \frac{1\times 13}{2\times 6}.

$$\frac{2}{3}-\frac{13}{12}+x$$

Least common multiple of 3 and 12 is 12. Convert \frac{2}{3} and \frac{13}{12} to fractions with denominator 12.

$$\frac{8}{12}-\frac{13}{12}+x$$

Since \frac{8}{12} and \frac{13}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-13}{12}+x$$

Subtract 13 from 8 to get -5.

$$-\frac{5}{12}+x$$