Basic Math Examples

$\frac{2 y + 5}{5 y + 1} \div \frac{2 y + 5}{y + 6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2 y + 5}{5 y + 1} \cdot \frac{y + 6}{2 y + 5}$

Step 2

Cancel the common factor of $2 y + 5$ .

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Step 2.1

Cancel the common factor.

$\frac{2 y + 5}{5 y + 1} \cdot \frac{y + 6}{2 y + 5}$

Step 2.2

Rewrite the expression.

$\frac{1}{5 y + 1} (y + 6)$

Step 3

Multiply $\frac{1}{5 y + 1}$ by $y + 6$ .

$\frac{y + 6}{5 y + 1}$