Basic Math Examples

$\frac{{(10 - 27.5)}^{2} + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $27.5$ from $10$ .

$\frac{{(- 17.5)}^{2} + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.2

Raise $- 17.5$ to the power of $2$ .

$\frac{306.25 + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.3

Subtract $27.5$ from $25$ .

$\frac{306.25 + {(- 2.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.4

Raise $- 2.5$ to the power of $2$ .

$\frac{306.25 + 6.25 + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.5

Subtract $27.5$ from $28$ .

$\frac{306.25 + 6.25 + {0.5}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.6

Raise $0.5$ to the power of $2$ .

$\frac{306.25 + 6.25 + 0.25 + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.7

Subtract $27.5$ from $32$ .

$\frac{306.25 + 6.25 + 0.25 + {4.5}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.8

Raise $4.5$ to the power of $2$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Step 1.9

Subtract $27.5$ from $33$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + {5.5}^{2} (37 - 27.5)}{6 - 1}$

Step 1.10

Raise $5.5$ to the power of $2$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 30.25 (37 - 27.5)}{6 - 1}$

Step 1.11

Subtract $27.5$ from $37$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 30.25 \cdot 9.5}{6 - 1}$

Step 1.12

Multiply $30.25$ by $9.5$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 287.375}{6 - 1}$

Step 1.13

Add $306.25$ and $6.25$ .

$\frac{312.5 + 0.25 + 20.25 + 287.375}{6 - 1}$

Step 1.14

Add $312.5$ and $0.25$ .

$\frac{312.75 + 20.25 + 287.375}{6 - 1}$

Step 1.15

Add $312.75$ and $20.25$ .

$\frac{333 + 287.375}{6 - 1}$

Step 1.16

Add $333$ and $287.375$ .

$\frac{620.375}{6 - 1}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $1$ from $6$ .

$\frac{620.375}{5}$

Step 2.2

Divide $620.375$ by $5$ .

$124.075$