Basic Math Examples

$12 y \cdot \frac{25}{2 \cdot y} = 55 y$

Step 1

Factor each term.

Tap for more steps...

Step 1.1

Multiply $12 y$ by $\frac{25}{2 \cdot y}$ .

$12 y \frac{25}{2 \cdot y} = 55 y$

Step 1.2

Combine $12$ and $\frac{25}{2 \cdot y}$ .

$y \frac{12 \cdot 25}{2 \cdot y} = 55 y$

Step 1.3

Combine $y$ and $\frac{12 \cdot 25}{2 \cdot y}$ .

$\frac{y (12 \cdot 25)}{2 \cdot y} = 55 y$

Step 1.4

Multiply $12$ by $25$ .

$\frac{y \cdot 300}{2 \cdot y} = 55 y$

Step 1.5

Reduce the expression $\frac{y \cdot 300}{2 \cdot y}$ by cancelling the common factors.

Tap for more steps...

Step 1.5.1

Cancel the common factor.

$\frac{y \cdot 300}{2 \cdot y} = 55 y$

Step 1.5.2

Rewrite the expression.

$\frac{300}{2} = 55 y$

Step 1.6

Reduce the expression $\frac{300}{2}$ by cancelling the common factors.

Tap for more steps...

Step 1.6.1

Factor $2$ out of $300$ .

$\frac{2 \cdot 150}{2} = 55 y$

Step 1.6.2

Factor $2$ out of $2$ .

$\frac{2 \cdot 150}{2 (1)} = 55 y$

Step 1.6.3

Cancel the common factor.

$\frac{2 \cdot 150}{2 \cdot 1} = 55 y$

Step 1.6.4

Rewrite the expression.

$\frac{150}{1} = 55 y$

Step 1.7

Divide $150$ by $1$ .

$150 = 55 y$

Step 2

Solve the equation.

Tap for more steps...

Step 2.1

Rewrite the equation as $55 y = 150$ .

$55 y = 150$

Step 2.2

Divide each term in $55 y = 150$ by $55$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $55 y = 150$ by $55$ .

$\frac{55 y}{55} = \frac{150}{55}$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $55$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{55 y}{55} = \frac{150}{55}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{150}{55}$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Cancel the common factor of $150$ and $55$ .

Tap for more steps...

Step 2.2.3.1.1

Factor $5$ out of $150$ .

$y = \frac{5 (30)}{55}$

Step 2.2.3.1.2

Cancel the common factors.

Tap for more steps...

Step 2.2.3.1.2.1

Factor $5$ out of $55$ .

$y = \frac{5 \cdot 30}{5 \cdot 11}$

Step 2.2.3.1.2.2

Cancel the common factor.

$y = \frac{5 \cdot 30}{5 \cdot 11}$

Step 2.2.3.1.2.3

Rewrite the expression.

$y = \frac{30}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{30}{11}$

Decimal Form:

$y = 2.\overline{72}$

Mixed Number Form:

$y = 2 \frac{8}{11}$