Basic Math Examples

$6 y \div \frac{4}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$6 y \frac{3}{4}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6 y$ .

$2 (3 y) \frac{3}{4}$

Step 2.2

Factor $2$ out of $4$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Combine $3$ and $\frac{3}{2}$ .

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

Step 4

Multiply $3$ by $3$ .

$y \frac{9}{2}$

Step 5

Combine $y$ and $\frac{9}{2}$ .

$\frac{y \cdot 9}{2}$

Step 6

Move $9$ to the left of $y$ .

$\frac{9 y}{2}$