Pre-Algebra Examples

$\frac{4 y}{5} \div \frac{- 7}{2 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 y}{5} \cdot \frac{2 y}{- 7}$

Step 2

Move the negative in front of the fraction.

$\frac{4 y}{5} (- \frac{2 y}{7})$

Step 3

Rewrite using the commutative property of multiplication.

$- \frac{4 y}{5} \cdot \frac{2 y}{7}$

Step 4

Multiply $- \frac{4 y}{5} \cdot \frac{2 y}{7}$ .

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Step 4.1

Multiply $\frac{2 y}{7}$ by $\frac{4 y}{5}$ .

$- \frac{2 y (4 y)}{7 \cdot 5}$

Step 4.2

Multiply $4$ by $2$ .

$- \frac{8 y \cdot y}{7 \cdot 5}$

Step 4.3

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

$- \frac{8 (y^{1} y)}{7 \cdot 5}$

Step 4.4

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

$- \frac{8 (y^{1} y^{1})}{7 \cdot 5}$

Step 4.5

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

$- \frac{8 y^{1 + 1}}{7 \cdot 5}$

Step 4.6

Add $1$ and $1$ .

$- \frac{8 y^{2}}{7 \cdot 5}$

Step 4.7

Multiply $7$ by $5$ .

$- \frac{8 y^{2}}{35}$