Basic Math Examples

2500 (1 + r (\frac{10}{12}))

$2500 (1 + r (\frac{10}{12}))$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

10

$10$ and

12

$12$ .

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Step 1.1.1

Factor

2

$2$ out of

10

$10$ .

2500 (1 + r \frac{2 (5)}{12})

$2500 (1 + r \frac{2 (5)}{12})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor

2

$2$ out of

12

$12$ .

2500 (1 + r \frac{2 \cdot 5}{2 \cdot 6})

$2500 (1 + r \frac{2 \cdot 5}{2 \cdot 6})$

Step 1.1.2.2

Cancel the common factor.

$2500 (1 + r \frac{2 \cdot 5}{2 \cdot 6})$

Step 1.1.2.3

Rewrite the expression.

$2500 (1 + r \frac{5}{6})$

$2500 (1 + r \frac{5}{6})$

$2500 (1 + r \frac{5}{6})$

Step 1.2

Combine

$r$ and

$\frac{5}{6}$ .

$2500 (1 + \frac{r \cdot 5}{6})$

Step 1.3

Move

$5$ to the left of

$r$ .

$2500 (1 + \frac{5 r}{6})$

$2500 (1 + \frac{5 r}{6})$

Step 2

Simplify terms.

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Step 2.1

Apply the distributive property.

$2500 \cdot 1 + 2500 \frac{5 r}{6}$

Step 2.2

Multiply

$2500$ by

$1$ .

$2500 + 2500 \frac{5 r}{6}$

Step 2.3

Cancel the common factor of

$2$ .

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Step 2.3.1

Factor

$2$ out of

$2500$ .

$2500 + 2 (1250) \frac{5 r}{6}$

Step 2.3.2

Factor

$2$ out of

$6$ .

$2500 + 2 \cdot 1250 \frac{5 r}{2 \cdot 3}$

Step 2.3.3

Cancel the common factor.

$2500 + 2 \cdot 1250 \frac{5 r}{2 \cdot 3}$

Step 2.3.4

Rewrite the expression.

$2500 + 1250 \frac{5 r}{3}$

$2500 + 1250 \frac{5 r}{3}$

Step 2.4

Combine

$1250$ and

$\frac{5 r}{3}$ .

$2500 + \frac{1250 (5 r)}{3}$

Step 2.5

Multiply

$5$ by

$1250$ .

$2500 + \frac{6250 r}{3}$

$2500 + \frac{6250 r}{3}$

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