Finite Math Examples

$- 113000 = - 6500 t$

Step 1

Rewrite the equation as $- 6500 t = - 113000$ .

$- 6500 t = - 113000$

Step 2

Divide each term in $- 6500 t = - 113000$ by $- 6500$ and simplify.

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Step 2.1

Divide each term in $- 6500 t = - 113000$ by $- 6500$ .

$\frac{- 6500 t}{- 6500} = \frac{- 113000}{- 6500}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6500$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 6500 t}{- 6500} = \frac{- 113000}{- 6500}$

Step 2.2.1.2

Divide $t$ by $1$ .

$t = \frac{- 113000}{- 6500}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $- 113000$ and $- 6500$ .

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Step 2.3.1.1

Factor $- 500$ out of $- 113000$ .

$t = \frac{- 500 (226)}{- 6500}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $- 500$ out of $- 6500$ .

$t = \frac{- 500 \cdot 226}{- 500 \cdot 13}$

Step 2.3.1.2.2

Cancel the common factor.

$t = \frac{- 500 \cdot 226}{- 500 \cdot 13}$

Step 2.3.1.2.3

Rewrite the expression.

$t = \frac{226}{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \frac{226}{13}$

Decimal Form:

$t = 17.38461538 \dots$

Mixed Number Form:

$t = 17 \frac{5}{13}$