Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $0.075$ .

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Step 1.1.1

Factor $0.075$ out of $360$ .

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

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:

$5307 \frac{7}{24}$

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