Basic Math Examples

- \frac{2}{y} = - 5

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

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

y, 1

$y, 1$

Step 1.2

The LCM of one and any expression is the expression.

y

$y$

y

$y$

Step 2

Multiply each term in

- \frac{2}{y} = - 5

$- \frac{2}{y} = - 5$ by

y

$y$ to eliminate the fractions.

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Step 2.1

Multiply each term in

- \frac{2}{y} = - 5

$- \frac{2}{y} = - 5$ by

y

$y$ .

- \frac{2}{y} y = - 5 y

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

y

$y$ .

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Step 2.2.1.1

Move the leading negative in

- \frac{2}{y}

$- \frac{2}{y}$ into the numerator.

\frac{- 2}{y} y = - 5 y

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

Step 2.2.1.2

Cancel the common factor.

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

Step 2.2.1.3

Rewrite the expression.

$- 2 = - 5 y$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as

$- 5 y = - 2$ .

$- 5 y = - 2$

Step 3.2

Divide each term in

$- 5 y = - 2$ by

$- 5$ and simplify.

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Step 3.2.1

Divide each term in

$- 5 y = - 2$ by

$- 5$ .

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

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of

$- 5$ .

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Step 3.2.2.1.1

Cancel the common factor.

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

Step 3.2.2.1.2

Divide

$y$ by

$1$ .

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

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Dividing two negative values results in a positive value.

$y = \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{2}{5}$

Decimal Form:

$y = 0.4$