Basic Math Examples

\frac{3 y}{2} \div \frac{3}{7}

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

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{3 y}{2} \cdot \frac{7}{3}

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

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

3 y

$3 y$ .

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Combine

$\frac{y}{2}$ and

$7$ .

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

Step 4

Move

$7$ to the left of

$y$ .

$\frac{7 y}{2}$

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

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