Finite Math Examples

$- \frac{9}{u} = 7$

Step 1

Find the LCD of the terms in the equation.

Tap for more steps...

Step 1.1

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

$u, 1$

Step 1.2

The LCM of one and any expression is the expression.

$u$

Step 2

Multiply each term in $- \frac{9}{u} = 7$ by $u$ to eliminate the fractions.

Tap for more steps...

Step 2.1

Multiply each term in $- \frac{9}{u} = 7$ by $u$ .

$- \frac{9}{u} u = 7 u$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $u$ .

Tap for more steps...

Step 2.2.1.1

Move the leading negative in $- \frac{9}{u}$ into the numerator.

$\frac{- 9}{u} u = 7 u$

Step 2.2.1.2

Cancel the common factor.

$\frac{- 9}{u} u = 7 u$

Step 2.2.1.3

Rewrite the expression.

$- 9 = 7 u$

Step 3

Solve the equation.

Tap for more steps...

Step 3.1

Rewrite the equation as $7 u = - 9$ .

$7 u = - 9$

Step 3.2

Divide each term in $7 u = - 9$ by $7$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $7 u = - 9$ by $7$ .

$\frac{7 u}{7} = \frac{- 9}{7}$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{7 u}{7} = \frac{- 9}{7}$

Step 3.2.2.1.2

Divide $u$ by $1$ .

$u = \frac{- 9}{7}$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Move the negative in front of the fraction.

$u = - \frac{9}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$u = - \frac{9}{7}$

Decimal Form:

$u = - 1.\overline{285714}$

Mixed Number Form:

$u = - 1 \frac{2}{7}$