Basic Math Examples

$244 = 200 (1 + \frac{r}{1}) (3)$

Step 1

Rewrite the equation as $200 (1 + \frac{r}{1}) \cdot 3 = 244$ .

$200 (1 + \frac{r}{1}) \cdot 3 = 244$

Step 2

Simplify.

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Step 2.1

Divide $r$ by $1$ .

$200 (1 + r) \cdot 3 = 244$

Step 2.2

Multiply $3$ by $200$ .

$600 (1 + r) = 244$

Step 3

Divide each term in $600 (1 + r) = 244$ by $600$ and simplify.

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Step 3.1

Divide each term in $600 (1 + r) = 244$ by $600$ .

$\frac{600 (1 + r)}{600} = \frac{244}{600}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $600$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{600 (1 + r)}{600} = \frac{244}{600}$

Step 3.2.1.2

Divide $1 + r$ by $1$ .

$1 + r = \frac{244}{600}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $244$ and $600$ .

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Step 3.3.1.1

Factor $4$ out of $244$ .

$1 + r = \frac{4 (61)}{600}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $4$ out of $600$ .

$1 + r = \frac{4 \cdot 61}{4 \cdot 150}$

Step 3.3.1.2.2

Cancel the common factor.

$1 + r = \frac{4 \cdot 61}{4 \cdot 150}$

Step 3.3.1.2.3

Rewrite the expression.

$1 + r = \frac{61}{150}$

Step 4

Move all terms not containing $r$ to the right side of the equation.

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Step 4.1

Subtract $1$ from both sides of the equation.

$r = \frac{61}{150} - 1$

Step 4.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{150}{150}$ .

$r = \frac{61}{150} - 1 \cdot \frac{150}{150}$

Step 4.3

Combine $- 1$ and $\frac{150}{150}$ .

$r = \frac{61}{150} + \frac{- 1 \cdot 150}{150}$

Step 4.4

Combine the numerators over the common denominator.

$r = \frac{61 - 1 \cdot 150}{150}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $- 1$ by $150$ .

$r = \frac{61 - 150}{150}$

Step 4.5.2

Subtract $150$ from $61$ .

$r = \frac{- 89}{150}$

Step 4.6

Move the negative in front of the fraction.

$r = - \frac{89}{150}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{89}{150}$

Decimal Form:

$r = - 0.59\overline{3}$