Basic Math Examples

$\frac{{(20 - 21)}^{2}}{21} + \frac{{(22 - 21)}^{2}}{21} + \frac{{(29 - 21)}^{2}}{21} + \frac{{(13 - 21)}^{2}}{21}$

Step 1

Combine the numerators over the common denominator.

$\frac{{(20 - 21)}^{2} + {(22 - 21)}^{2} + {(29 - 21)}^{2} + {(13 - 21)}^{2}}{21}$

Step 2

Simplify each term.

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Step 2.1

Subtract $21$ from $20$ .

$\frac{{(- 1)}^{2} + {(22 - 21)}^{2} + {(29 - 21)}^{2} + {(13 - 21)}^{2}}{21}$

Step 2.2

Raise $- 1$ to the power of $2$ .

$\frac{1 + {(22 - 21)}^{2} + {(29 - 21)}^{2} + {(13 - 21)}^{2}}{21}$

Step 2.3

Subtract $21$ from $22$ .

$\frac{1 + 1^{2} + {(29 - 21)}^{2} + {(13 - 21)}^{2}}{21}$

Step 2.4

One to any power is one.

$\frac{1 + 1 + {(29 - 21)}^{2} + {(13 - 21)}^{2}}{21}$

Step 2.5

Subtract $21$ from $29$ .

$\frac{1 + 1 + 8^{2} + {(13 - 21)}^{2}}{21}$

Step 2.6

Raise $8$ to the power of $2$ .

$\frac{1 + 1 + 64 + {(13 - 21)}^{2}}{21}$

Step 2.7

Subtract $21$ from $13$ .

$\frac{1 + 1 + 64 + {(- 8)}^{2}}{21}$

Step 2.8

Raise $- 8$ to the power of $2$ .

$\frac{1 + 1 + 64 + 64}{21}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $1$ and $1$ .

$\frac{2 + 64 + 64}{21}$

Step 3.2

Add $2$ and $64$ .

$\frac{66 + 64}{21}$

Step 3.3

Add $66$ and $64$ .

$\frac{130}{21}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{130}{21}$

Decimal Form:

$6.\overline{190476}$

Mixed Number Form:

$6 \frac{4}{21}$