Basic Math Examples

- \frac{2}{u} = 7

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

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

$u, 1$

Step 1.2

The LCM of one and any expression is the expression.

u

$u$

u

$u$

Step 2

Multiply each term in

- \frac{2}{u} = 7

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

u

$u$ to eliminate the fractions.

Tap for more steps...

Step 2.1

Multiply each term in

- \frac{2}{u} = 7

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

u

$u$ .

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

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

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of

u

$u$ .

Tap for more steps...

Step 2.2.1.1

Move the leading negative in

- \frac{2}{u}

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

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

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

Step 2.2.1.2

Cancel the common factor.

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

Step 2.2.1.3

Rewrite the expression.

$- 2 = 7 u$

Step 3

Solve the equation.

Tap for more steps...

Step 3.1

Rewrite the equation as

$7 u = - 2$ .

$7 u = - 2$

Step 3.2

Divide each term in

$7 u = - 2$ by

$7$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in

$7 u = - 2$ by

$7$ .

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

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.

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

Step 3.2.2.1.2

Divide

$u$ by

$1$ .

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

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.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$u = - 0.\overline{285714}$