Basic Math Examples

A = 6000 (1 + 0.1 \cdot 1 \frac{1}{12})

$A = 6000 (1 + 0.1 \cdot 1 \frac{1}{12})$

Step 1

Convert

$1 \frac{1}{12}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$A = 6000 (1 + 0.1 \cdot (1 + \frac{1}{12}))$

Step 1.2

Add

$1$ and

$\frac{1}{12}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$A = 6000 (1 + 0.1 \cdot (\frac{12}{12} + \frac{1}{12}))$

Step 1.2.2

Combine the numerators over the common denominator.

$A = 6000 (1 + 0.1 \cdot \frac{12 + 1}{12})$

Step 1.2.3

Add

$12$ and

$1$ .

$A = 6000 (1 + 0.1 \cdot \frac{13}{12})$

Step 2

Cancel the common factor of

$0.1$ .

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Step 2.1

Factor

$0.1$ out of

$12$ .

$A = 6000 (1 + 0.1 \cdot \frac{13}{0.1 (120)})$

Step 2.2

Cancel the common factor.

$A = 6000 (1 + 0.1 \cdot \frac{13}{0.1 \cdot 120})$

Step 2.3

Rewrite the expression.

$A = 6000 (1 + \frac{13}{120})$

Step 3

Simplify the expression.

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Step 3.1

Write

$1$ as a fraction with a common denominator.

$A = 6000 (\frac{120}{120} + \frac{13}{120})$

Step 3.2

Combine the numerators over the common denominator.

$A = 6000 \frac{120 + 13}{120}$

Step 3.3

Add

$120$ and

$13$ .

$A = 6000 (\frac{133}{120})$

Step 4

Cancel the common factor of

$120$ .

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Step 4.1

Factor

$120$ out of

$6000$ .

$A = 120 (50) \frac{133}{120}$

Step 4.2

Cancel the common factor.

$A = 120 \cdot 50 \frac{133}{120}$

Step 4.3

Rewrite the expression.

$A = 50 \cdot 133$

Step 5

Multiply

$50$ by

$133$ .

$A = 6650$