Basic Math Examples

$\frac{52000}{\frac{32000 + 23000}{2}}$

Step 1

Cancel the common factor of $32000 + 23000$ and $2$ .

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Step 1.1

Factor $2$ out of $32000$ .

$\frac{52000}{\frac{2 \cdot 16000 + 23000}{2}}$

Step 1.2

Factor $2$ out of $23000$ .

$\frac{52000}{\frac{2 \cdot 16000 + 2 \cdot 11500}{2}}$

Step 1.3

Factor $2$ out of $2 \cdot 16000 + 2 \cdot 11500$ .

$\frac{52000}{\frac{2 \cdot (16000 + 11500)}{2}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $2$ .

$\frac{52000}{\frac{2 \cdot (16000 + 11500)}{2 (1)}}$

Step 1.4.2

Cancel the common factor.

$\frac{52000}{\frac{2 \cdot (16000 + 11500)}{2 \cdot 1}}$

Step 1.4.3

Rewrite the expression.

$\frac{52000}{\frac{16000 + 11500}{1}}$

Step 1.4.4

Divide $16000 + 11500$ by $1$ .

$\frac{52000}{16000 + 11500}$

Step 2

Cancel the common factor of $52000$ and $16000 + 11500$ .

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Step 2.1

Factor $500$ out of $52000$ .

$\frac{500 (104)}{16000 + 11500}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $500$ out of $16000$ .

$\frac{500 \cdot 104}{500 \cdot 32 + 11500}$

Step 2.2.2

Factor $500$ out of $11500$ .

$\frac{500 (104)}{500 \cdot 32 + 500 \cdot 23}$

Step 2.2.3

Factor $500$ out of $500 \cdot 32 + 500 \cdot 23$ .

$\frac{500 (104)}{500 \cdot (32 + 23)}$

Step 2.2.4

Cancel the common factor.

$\frac{500 \cdot 104}{500 \cdot (32 + 23)}$

Step 2.2.5

Rewrite the expression.

$\frac{104}{32 + 23}$

Step 3

Add $32$ and $23$ .

$\frac{104}{55}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{104}{55}$

Decimal Form:

$1.8\overline{90}$

Mixed Number Form:

$1 \frac{49}{55}$