Basic Math Examples

5000 (1 + 0.075 \cdot \frac{295}{360})

$5000 (1 + 0.075 \cdot \frac{295}{360})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

0.075

$0.075$ .

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Step 1.1.1

Factor

0.075

$0.075$ out of

360

$360$ .

5000 (1 + 0.075 \cdot \frac{295}{0.075 (4800)})

$5000 (1 + 0.075 \cdot \frac{295}{0.075 (4800)})$

Step 1.1.2

Cancel the common factor.

$5000 (1 + 0.075 \cdot \frac{295}{0.075 \cdot 4800})$

Step 1.1.3

Rewrite the expression.

$5000 (1 + \frac{295}{4800})$

$5000 (1 + \frac{295}{4800})$

Step 1.2

Cancel the common factor of

$295$ and

$4800$ .

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Step 1.2.1

Factor

$5$ out of

$295$ .

$5000 (1 + \frac{5 (59)}{4800})$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor

$5$ out of

$4800$ .

$5000 (1 + \frac{5 \cdot 59}{5 \cdot 960})$

Step 1.2.2.2

Cancel the common factor.

$5000 (1 + \frac{5 \cdot 59}{5 \cdot 960})$

Step 1.2.2.3

Rewrite the expression.

$5000 (1 + \frac{59}{960})$

$5000 (1 + \frac{59}{960})$

$5000 (1 + \frac{59}{960})$

$5000 (1 + \frac{59}{960})$

Step 2

Simplify terms.

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Step 2.1

Write

$1$ as a fraction with a common denominator.

$5000 (\frac{960}{960} + \frac{59}{960})$

Step 2.2

Simplify the expression.

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Step 2.2.1

Combine the numerators over the common denominator.

$5000 \frac{960 + 59}{960}$

Step 2.2.2

Add

$960$ and

$59$ .

$5000 (\frac{1019}{960})$

$5000 (\frac{1019}{960})$

Step 2.3

Cancel the common factor of

$40$ .

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Step 2.3.1

Factor

$40$ out of

$5000$ .

$40 (125) \frac{1019}{960}$

Step 2.3.2

Factor

$40$ out of

$960$ .

$40 \cdot 125 \frac{1019}{40 \cdot 24}$

Step 2.3.3

Cancel the common factor.

$40 \cdot 125 \frac{1019}{40 \cdot 24}$

Step 2.3.4

Rewrite the expression.

$125 (\frac{1019}{24})$

$125 (\frac{1019}{24})$

Step 2.4

Combine

$125$ and

$\frac{1019}{24}$ .

$\frac{125 \cdot 1019}{24}$

Step 2.5

Multiply

$125$ by

$1019$ .

$\frac{127375}{24}$

$\frac{127375}{24}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{127375}{24}$

Decimal Form:

$5307.291\overline{6}$

Mixed Number Form:

$5307 \frac{7}{24}$

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