Basic Math Examples

$\frac{y}{5} \div \frac{7}{y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{y}{5} \cdot \frac{y}{7}$

Step 2

Multiply $\frac{y}{5} \cdot \frac{y}{7}$ .

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Step 2.1

Multiply $\frac{y}{5}$ by $\frac{y}{7}$ .

$\frac{y \cdot y}{5 \cdot 7}$

Step 2.2

Raise $y$ to the power of $1$ .

$\frac{y^{1} y}{5 \cdot 7}$

Step 2.3

Raise $y$ to the power of $1$ .

$\frac{y^{1} y^{1}}{5 \cdot 7}$

Step 2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{y^{1 + 1}}{5 \cdot 7}$

Step 2.5

Add $1$ and $1$ .

$\frac{y^{2}}{5 \cdot 7}$

Step 2.6

Multiply $5$ by $7$ .

$\frac{y^{2}}{35}$