Solve 1/2*2/4+12/2div12/4-frac{1}{6}

$$\frac { 1 } { 2 } \times \frac { 2 } { 4 } + \frac { 12 } { 2 } \div \frac { 12 } { 4 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

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

$$\frac{1}{2}\times \frac{1}{2}+\frac{\frac{12}{2}}{\frac{12}{4}}-\frac{1}{6}$$

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

$$\frac{1\times 1}{2\times 2}+\frac{\frac{12}{2}}{\frac{12}{4}}-\frac{1}{6}$$

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

$$\frac{1}{4}+\frac{\frac{12}{2}}{\frac{12}{4}}-\frac{1}{6}$$

Divide \frac{12}{2} by \frac{12}{4} by multiplying \frac{12}{2} by the reciprocal of \frac{12}{4}.

$$\frac{1}{4}+\frac{12\times 4}{2\times 12}-\frac{1}{6}$$

Cancel out 2\times 2\times 6 in both numerator and denominator.

$$\frac{1}{4}+2-\frac{1}{6}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{1}{4}+\frac{8}{4}-\frac{1}{6}$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+8}{4}-\frac{1}{6}$$

Add 1 and 8 to get 9.

$$\frac{9}{4}-\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{9}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{27}{12}-\frac{2}{12}$$

Since \frac{27}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-2}{12}$$

Subtract 2 from 27 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$