Basic Math Examples

\frac{8}{u} = 6

$\frac{8}{u} = 6$

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.

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{8}{u} = 6

$\frac{8}{u} = 6$ by

u

$u$ to eliminate the fractions.

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Step 2.1

Multiply each term in

\frac{8}{u} = 6

$\frac{8}{u} = 6$ by

u

$u$ .

\frac{8}{u} u = 6 u

$\frac{8}{u} u = 6 u$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

u

$u$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{8}{u} u = 6 u

$\frac{8}{u} u = 6 u$

Step 2.2.1.2

Rewrite the expression.

8 = 6 u

$8 = 6 u$

8 = 6 u

$8 = 6 u$

8 = 6 u

$8 = 6 u$

8 = 6 u

$8 = 6 u$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as

6 u = 8

$6 u = 8$ .

6 u = 8

$6 u = 8$

Step 3.2

Divide each term in

6 u = 8

$6 u = 8$ by

6

$6$ and simplify.

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Step 3.2.1

Divide each term in

6 u = 8

$6 u = 8$ by

6

$6$ .

\frac{6 u}{6} = \frac{8}{6}

$\frac{6 u}{6} = \frac{8}{6}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of

6

$6$ .

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Step 3.2.2.1.1

Cancel the common factor.

\frac{6 u}{6} = \frac{8}{6}

$\frac{6 u}{6} = \frac{8}{6}$

Step 3.2.2.1.2

Divide

u

$u$ by

1

$1$ .

u = \frac{8}{6}

$u = \frac{8}{6}$

u = \frac{8}{6}

$u = \frac{8}{6}$

u = \frac{8}{6}

$u = \frac{8}{6}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Cancel the common factor of

8

$8$ and

6

$6$ .

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Step 3.2.3.1.1

Factor

2

$2$ out of

8

$8$ .

u = \frac{2 (4)}{6}

$u = \frac{2 (4)}{6}$

Step 3.2.3.1.2

Cancel the common factors.

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Step 3.2.3.1.2.1

Factor

2

$2$ out of

6

$6$ .

u = \frac{2 \cdot 4}{2 \cdot 3}

$u = \frac{2 \cdot 4}{2 \cdot 3}$

Step 3.2.3.1.2.2

Cancel the common factor.

u = \frac{2 \cdot 4}{2 \cdot 3}

$u = \frac{2 \cdot 4}{2 \cdot 3}$

Step 3.2.3.1.2.3

Rewrite the expression.

u = \frac{4}{3}

$u = \frac{4}{3}$

u = \frac{4}{3}

$u = \frac{4}{3}$

u = \frac{4}{3}

$u = \frac{4}{3}$

u = \frac{4}{3}

$u = \frac{4}{3}$

u = \frac{4}{3}

$u = \frac{4}{3}$

u = \frac{4}{3}

$u = \frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

u = \frac{4}{3}

$u = \frac{4}{3}$

Decimal Form:

u = 1.\overline{3}

$u = 1.\overline{3}$

Mixed Number Form:

u = 1 \frac{1}{3}

$u = 1 \frac{1}{3}$

\frac{8}{u} = 6

$\frac{8}{u} = 6$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$