Basic Math Examples

$\frac{u}{5} = - \frac{3}{10}$

Step 1

Multiply both sides of the equation by $5$ .

$5 \frac{u}{5} = 5 (- \frac{3}{10})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1

Cancel the common factor.

$5 \frac{u}{5} = 5 (- \frac{3}{10})$

Step 2.1.1.2

Rewrite the expression.

$u = 5 (- \frac{3}{10})$

$u = 5 (- \frac{3}{10})$

$u = 5 (- \frac{3}{10})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $5 (- \frac{3}{10})$ .

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Step 2.2.1.1

Cancel the common factor of $5$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{3}{10}$ into the numerator.

$u = 5 (\frac{- 3}{10})$

Step 2.2.1.1.2

Factor $5$ out of $10$ .

$u = 5 \frac{- 3}{5 (2)}$

Step 2.2.1.1.3

Cancel the common factor.

$u = 5 \frac{- 3}{5 \cdot 2}$

Step 2.2.1.1.4

Rewrite the expression.

$u = \frac{- 3}{2}$

$u = \frac{- 3}{2}$

Step 2.2.1.2

Move the negative in front of the fraction.

$u = - \frac{3}{2}$

$u = - \frac{3}{2}$

$u = - \frac{3}{2}$

$u = - \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$u = - \frac{3}{2}$

Decimal Form:

$u = - 1.5$

Mixed Number Form:

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

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