Divide 4 , 420÷170

$4$ , $420 \div 170$

Step 1

Divide the first expression by the second expression.

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

Step 2

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

Factor $10$ out of $420$ .

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

Cancel the common factors.

Factor $10$ out of $170$ .

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

Cancel the common factor.

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

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 $2$ .

Factor $2$ out of $4$ .

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

Factor $2$ out of $42$ .

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

Cancel the common factor.

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

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 $17$ .

$\frac{34}{21}$