Solve 0/5+1/5+2/5+3/5+frac{4}{5}+frac{5}{5}=10

$$\frac { 0 } { 5 } + \frac { 1 } { 5 } + \frac { 2 } { 5 } + \frac { 3 } { 5 } + \frac { 4 } { 5 } + \frac { 5 } { 5 } = 10$$

Verify

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{0}{5}+\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}+1=10$$

Zero divided by any non-zero number gives zero.

$$0+\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}+1=10$$

Add 0 and \frac{1}{5} to get \frac{1}{5}.

$$\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}+1=10$$

Since \frac{1}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{5}+\frac{3}{5}+\frac{4}{5}+1=10$$

Add 1 and 2 to get 3.

$$\frac{3}{5}+\frac{3}{5}+\frac{4}{5}+1=10$$

Since \frac{3}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+3}{5}+\frac{4}{5}+1=10$$

Add 3 and 3 to get 6.

$$\frac{6}{5}+\frac{4}{5}+1=10$$

Since \frac{6}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{6+4}{5}+1=10$$

Add 6 and 4 to get 10.

$$\frac{10}{5}+1=10$$

Divide 10 by 5 to get 2.

$$2+1=10$$

Add 2 and 1 to get 3.

$$3=10$$

Compare 3 and 10.

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