Basic Math Examples

$\frac{7}{\frac{6}{4 y \div 6}}$

Step 1

Cancel the common factor of $4$ and $6$ .

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Step 1.1

Factor $2$ out of $4 y$ .

$\frac{7}{\frac{6}{2 (2 y) \div 6}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

$\frac{7}{\frac{6}{2 (2 y) \div 2 (3)}}$

Step 1.2.2

Cancel the common factor.

$\frac{7}{\frac{6}{2 (2 y) \div 2 \cdot 3}}$

Step 1.2.3

Rewrite the expression.

$\frac{7}{\frac{6}{\frac{2 y}{3}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$7 \frac{\frac{2 y}{3}}{6}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$7 (\frac{2 y}{3} \cdot \frac{1}{6})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $2 y$ .

$7 (\frac{2 (y)}{3} \cdot \frac{1}{6})$

Step 4.2

Factor $2$ out of $6$ .

$7 (\frac{2 (y)}{3} \cdot \frac{1}{2 (3)})$

Step 4.3

Cancel the common factor.

$7 (\frac{2 y}{3} \cdot \frac{1}{2 \cdot 3})$

Step 4.4

Rewrite the expression.

$7 (\frac{y}{3} \cdot \frac{1}{3})$

Step 5

Multiply $\frac{y}{3}$ by $\frac{1}{3}$ .

$7 \frac{y}{3 \cdot 3}$

Step 6

Multiply $3$ by $3$ .

$7 \frac{y}{9}$

Step 7

Combine $7$ and $\frac{y}{9}$ .

$\frac{7 y}{9}$