Solve M=1/6+2/6+3/6+4/6+frac{5}{6}+frac{6}{6}

$$M = \frac { 1 } { 6 } + \frac { 2 } { 6 } + \frac { 3 } { 6 } + \frac { 4 } { 6 } + \frac { 5 } { 6 } + \frac { 6 } { 6 }$$

Solve for M

$$M = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

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

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

$$M=\frac{1}{6}+\frac{2}{6}+\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

Since \frac{1}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$M=\frac{1+2}{6}+\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

Add 1 and 2 to get 3.

$$M=\frac{3}{6}+\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$M=\frac{1}{2}+\frac{3}{6}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

$$M=\frac{2}{2}+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

Divide 2 by 2 to get 1.

$$M=1+\frac{4}{6}+\frac{5}{6}+\frac{6}{6}$$

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

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

Convert 1 to fraction \frac{3}{3}.

$$M=\frac{3}{3}+\frac{2}{3}+\frac{5}{6}+\frac{6}{6}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$M=\frac{3+2}{3}+\frac{5}{6}+\frac{6}{6}$$

Add 3 and 2 to get 5.

$$M=\frac{5}{3}+\frac{5}{6}+\frac{6}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{5}{6} to fractions with denominator 6.

$$M=\frac{10}{6}+\frac{5}{6}+\frac{6}{6}$$

Since \frac{10}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$M=\frac{10+5}{6}+\frac{6}{6}$$

Add 10 and 5 to get 15.

$$M=\frac{15}{6}+\frac{6}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$M=\frac{5}{2}+\frac{6}{6}$$

Divide 6 by 6 to get 1.

$$M=\frac{5}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$M=\frac{5}{2}+\frac{2}{2}$$

Since \frac{5}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$M=\frac{5+2}{2}$$

Add 5 and 2 to get 7.

$$M=\frac{7}{2}$$

Assign M

$$M≔\frac{7}{2}$$