Basic Math Examples

$8 = \frac{82 y}{100}$

Step 1

Rewrite the equation as $\frac{82 y}{100} = 8$ .

$\frac{82 y}{100} = 8$

Step 2

Cancel the common factor of $82$ and $100$ .

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Step 2.1

Factor $2$ out of $82 y$ .

$\frac{2 (41 y)}{100} = 8$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $100$ .

$\frac{2 (41 y)}{2 (50)} = 8$

Step 2.2.2

Cancel the common factor.

$\frac{2 (41 y)}{2 \cdot 50} = 8$

Step 2.2.3

Rewrite the expression.

$\frac{41 y}{50} = 8$

$\frac{41 y}{50} = 8$

$\frac{41 y}{50} = 8$

Step 3

Multiply both sides by $50$ .

$\frac{41 y}{50} \cdot 50 = 8 \cdot 50$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $50$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{41 y}{50} \cdot 50 = 8 \cdot 50$

Step 4.1.1.2

Rewrite the expression.

$41 y = 8 \cdot 50$

$41 y = 8 \cdot 50$

$41 y = 8 \cdot 50$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $8$ by $50$ .

$41 y = 400$

$41 y = 400$

$41 y = 400$

Step 5

Divide each term in $41 y = 400$ by $41$ and simplify.

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Step 5.1

Divide each term in $41 y = 400$ by $41$ .

$\frac{41 y}{41} = \frac{400}{41}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $41$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{41 y}{41} = \frac{400}{41}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{400}{41}$

$y = \frac{400}{41}$

$y = \frac{400}{41}$

$y = \frac{400}{41}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{400}{41}$

Decimal Form:

$y = 9.\overline{75609}$

Mixed Number Form:

$y = 9 \frac{31}{41}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$