Basic Math Examples

$- 50.7 + \frac{9.2}{(1 + 0.111)} + \frac{19.6}{{(1 + 0.111)}^{2}} + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1

Simplify each term.

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Step 1.1

Add $1$ and $0.111$ .

$- 50.7 + \frac{9.2}{1.111} + \frac{19.6}{{(1 + 0.111)}^{2}} + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.2

Divide $9.2$ by $1.111$ .

$- 50.7 + 8.\overline{2808} + \frac{19.6}{{(1 + 0.111)}^{2}} + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.3

Simplify the denominator.

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Step 1.3.1

Add $1$ and $0.111$ .

$- 50.7 + 8.\overline{2808} + \frac{19.6}{{1.111}^{2}} + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.3.2

Raise $1.111$ to the power of $2$ .

$- 50.7 + 8.\overline{2808} + \frac{19.6}{1.234321} + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.4

Divide $19.6$ by $1.234321$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + \frac{20.6}{{(1 + 0.111)}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.5

Simplify the denominator.

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Step 1.5.1

Add $1$ and $0.111$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + \frac{20.6}{{1.111}^{3}} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.5.2

Raise $1.111$ to the power of $3$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + \frac{20.6}{1.37133063} + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.6

Divide $20.6$ by $1.37133063$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + 15.02190612 + \frac{14.1}{{(1 + 0.111)}^{4}}$

Step 1.7

Simplify the denominator.

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Step 1.7.1

Add $1$ and $0.111$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + 15.02190612 + \frac{14.1}{{1.111}^{4}}$

Step 1.7.2

Raise $1.111$ to the power of $4$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + 15.02190612 + \frac{14.1}{1.52354833}$

Step 1.8

Divide $14.1$ by $1.52354833$ .

$- 50.7 + 8.\overline{2808} + 15.87917567 + 15.02190612 + 9.25471132$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $- 50.7$ and $8.\overline{2808}$ .

$- 42.4\overline{1917} + 15.87917567 + 15.02190612 + 9.25471132$

Step 2.2

Add $- 42.4\overline{1917}$ and $15.87917567$ .

$- 26.53999624 + 15.02190612 + 9.25471132$

Step 2.3

Add $- 26.53999624$ and $15.02190612$ .

$- 11.51809011 + 9.25471132$

Step 2.4

Add $- 11.51809011$ and $9.25471132$ .

$- 2.26337879$