Basic Math Examples

$205 \cdot \frac{17}{41} \cdot \frac{1}{25}$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Factor $5$ out of $205 \cdot \frac{17}{41}$ .

$5 (41 \cdot \frac{17}{41}) \cdot \frac{1}{25}$

Step 1.2

Factor $5$ out of $25$ .

$5 (41 \cdot \frac{17}{41}) \cdot \frac{1}{5 (5)}$

Step 1.3

Cancel the common factor.

$5 (41 \cdot \frac{17}{41}) \cdot \frac{1}{5 \cdot 5}$

Step 1.4

Rewrite the expression.

$41 \cdot \frac{17}{41} \cdot \frac{1}{5}$

Step 2

Combine $41$ and $\frac{17}{41}$ .

$\frac{41 \cdot 17}{41} \cdot \frac{1}{5}$

Step 3

Multiply $41$ by $17$ .

$\frac{697}{41} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{697}{41}$ by $\frac{1}{5}$ .

$\frac{697}{41 \cdot 5}$

Step 5

Multiply $41$ by $5$ .

$\frac{697}{205}$

Step 6

Cancel the common factor of $697$ and $205$ .

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Step 6.1

Factor $41$ out of $697$ .

$\frac{41 (17)}{205}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $41$ out of $205$ .

$\frac{41 \cdot 17}{41 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{41 \cdot 17}{41 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{17}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{5}$

Decimal Form:

$3.4$

Mixed Number Form:

$3 \frac{2}{5}$