Finite Math Examples

$\frac{{(51 - 51)}^{2} + {(49 - 51)}^{2} + {(48 - 51)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $51$ from $51$ .

$\frac{0^{2} + {(49 - 51)}^{2} + {(48 - 51)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.2

Raising $0$ to any positive power yields $0$ .

$\frac{0 + {(49 - 51)}^{2} + {(48 - 51)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.3

Subtract $51$ from $49$ .

$\frac{0 + {(- 2)}^{2} + {(48 - 51)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.4

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

$\frac{0 + 4 + {(48 - 51)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.5

Subtract $51$ from $48$ .

$\frac{0 + 4 + {(- 3)}^{2} + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.6

Raise $- 3$ to the power of $2$ .

$\frac{0 + 4 + 9 + {(52 - 51)}^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.7

Subtract $51$ from $52$ .

$\frac{0 + 4 + 9 + 1^{2} + {(55 - 51)}^{2}}{5 - 1}$

Step 1.8

One to any power is one.

$\frac{0 + 4 + 9 + 1 + {(55 - 51)}^{2}}{5 - 1}$

Step 1.9

Subtract $51$ from $55$ .

$\frac{0 + 4 + 9 + 1 + 4^{2}}{5 - 1}$

Step 1.10

Raise $4$ to the power of $2$ .

$\frac{0 + 4 + 9 + 1 + 16}{5 - 1}$

Step 1.11

Add $0$ and $4$ .

$\frac{4 + 9 + 1 + 16}{5 - 1}$

Step 1.12

Add $4$ and $9$ .

$\frac{13 + 1 + 16}{5 - 1}$

Step 1.13

Add $13$ and $1$ .

$\frac{14 + 16}{5 - 1}$

Step 1.14

Add $14$ and $16$ .

$\frac{30}{5 - 1}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $1$ from $5$ .

$\frac{30}{4}$

Step 2.2

Cancel the common factor of $30$ and $4$ .

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Step 2.2.1

Factor $2$ out of $30$ .

$\frac{2 (15)}{4}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 15}{2 \cdot 2}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 15}{2 \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{15}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{2}$

Decimal Form:

$7.5$

Mixed Number Form:

$7 \frac{1}{2}$