Solve 01/2+4/6+5/6+6/6

$$0 \frac{ 1 }{ 2 } + \frac{ 4 }{ 6 } + \frac{ 5 }{ 6 } + \frac{ 6 }{ 6 }$$

Evaluate

$$3$$

Solution Steps

Divide 6 by 6 to get 1.

$$\frac{0\times 2+1}{2}+\frac{4}{6}+\frac{5}{6}+1$$

Multiply 0 and 2 to get 0.

$$\frac{0+1}{2}+\frac{4}{6}+\frac{5}{6}+1$$

Add 0 and 1 to get 1.

$$\frac{1}{2}+\frac{4}{6}+\frac{5}{6}+1$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{2}{3}+\frac{5}{6}+1$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+1$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{6}+\frac{5}{6}+1$$

Add 3 and 4 to get 7.

$$\frac{7}{6}+\frac{5}{6}+1$$

Since \frac{7}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{6}+1$$

Add 7 and 5 to get 12.

$$\frac{12}{6}+1$$

Divide 12 by 6 to get 2.

$$2+1$$

Add 2 and 1 to get 3.

$$3$$

Factor

$$3$$