Basic Math Examples

$- \frac{9}{5} \cdot \frac{3}{5} \cdot y = 2$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Multiply $- \frac{9}{5} \cdot \frac{3}{5}$ .

Tap for more steps...

Step 1.1.1

Multiply $\frac{3}{5}$ by $\frac{9}{5}$ .

$- \frac{3 \cdot 9}{5 \cdot 5} \cdot y = 2$

Step 1.1.2

Multiply $3$ by $9$ .

$- \frac{27}{5 \cdot 5} \cdot y = 2$

Step 1.1.3

Multiply $5$ by $5$ .

$- \frac{27}{25} \cdot y = 2$

Step 1.2

Combine $y$ and $\frac{27}{25}$ .

$- \frac{y \cdot 27}{25} = 2$

Step 2

Divide each term in $- \frac{y \cdot 27}{25} = 2$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- \frac{y \cdot 27}{25} = 2$ by $- 1$ .

$\frac{- \frac{y \cdot 27}{25}}{- 1} = \frac{2}{- 1}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{\frac{y \cdot 27}{25}}{1} = \frac{2}{- 1}$

Step 2.2.2

Simplify the expression.

Tap for more steps...

Step 2.2.2.1

Divide $\frac{y \cdot 27}{25}$ by $1$ .

$\frac{y \cdot 27}{25} = \frac{2}{- 1}$

Step 2.2.2.2

Move $27$ to the left of $y$ .

$\frac{27 y}{25} = \frac{2}{- 1}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $2$ by $- 1$ .

$\frac{27 y}{25} = - 2$

Step 3

Multiply both sides of the equation by $\frac{25}{27}$ .

$\frac{25}{27} \cdot \frac{27 y}{25} = \frac{25}{27} \cdot - 2$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Simplify $\frac{25}{27} \cdot \frac{27 y}{25}$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor of $25$ .

Tap for more steps...

Step 4.1.1.1.1

Cancel the common factor.

$\frac{25}{27} \cdot \frac{27 y}{25} = \frac{25}{27} \cdot - 2$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{27} (27 y) = \frac{25}{27} \cdot - 2$

Step 4.1.1.2

Cancel the common factor of $27$ .

Tap for more steps...

Step 4.1.1.2.1

Factor $27$ out of $27 y$ .

$\frac{1}{27} (27 (y)) = \frac{25}{27} \cdot - 2$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{27} (27 y) = \frac{25}{27} \cdot - 2$

Step 4.1.1.2.3

Rewrite the expression.

$y = \frac{25}{27} \cdot - 2$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify $\frac{25}{27} \cdot - 2$ .

Tap for more steps...

Step 4.2.1.1

Multiply $\frac{25}{27} \cdot - 2$ .

Tap for more steps...

Step 4.2.1.1.1

Combine $\frac{25}{27}$ and $- 2$ .

$y = \frac{25 \cdot - 2}{27}$

Step 4.2.1.1.2

Multiply $25$ by $- 2$ .

$y = \frac{- 50}{27}$

Step 4.2.1.2

Move the negative in front of the fraction.

$y = - \frac{50}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{50}{27}$

Decimal Form:

$y = - 1.\overline{851}$

Mixed Number Form:

$y = - 1 \frac{23}{27}$