Algebra Examples

$4$ , $420 \div 170$

Step 1

Divide the first expression by the second expression.

$\frac{4}{420 \div 170}$

Step 2

Cancel the common factor of $420$ and $170$ .

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Step 2.1

Factor $10$ out of $420$ .

$\frac{4}{10 (42) \div 170}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10$ out of $170$ .

$\frac{4}{10 \cdot 42 \div 10 \cdot 17}$

Step 2.2.2

Cancel the common factor.

$\frac{4}{10 \cdot 42 \div 10 \cdot 17}$

Step 2.2.3

Rewrite the expression.

$\frac{4}{\frac{42}{17}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$4 (\frac{17}{42})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$2 (2) \frac{17}{42}$

Step 4.2

Factor $2$ out of $42$ .

$2 \cdot 2 \frac{17}{2 \cdot 21}$

Step 4.3

Cancel the common factor.

$2 \cdot 2 \frac{17}{2 \cdot 21}$

Step 4.4

Rewrite the expression.

$2 (\frac{17}{21})$

Step 5

Combine $2$ and $\frac{17}{21}$ .

$\frac{2 \cdot 17}{21}$

Step 6

Multiply $2$ by $17$ .

$\frac{34}{21}$