Basic Math Examples

$\frac{7}{10} u = 4$

Step 1

Multiply both sides of the equation by $\frac{10}{7}$ .

$\frac{10}{7} (\frac{7}{10} u) = \frac{10}{7} \cdot 4$

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

Simplify $\frac{10}{7} (\frac{7}{10} u)$ .

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Step 2.1.1.1

Combine $\frac{7}{10}$ and $u$ .

$\frac{10}{7} \cdot \frac{7 u}{10} = \frac{10}{7} \cdot 4$

Step 2.1.1.2

Cancel the common factor of $10$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{10}{7} \cdot \frac{7 u}{10} = \frac{10}{7} \cdot 4$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{7} (7 u) = \frac{10}{7} \cdot 4$

Step 2.1.1.3

Cancel the common factor of $7$ .

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Step 2.1.1.3.1

Factor $7$ out of $7 u$ .

$\frac{1}{7} (7 (u)) = \frac{10}{7} \cdot 4$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{7} (7 u) = \frac{10}{7} \cdot 4$

Step 2.1.1.3.3

Rewrite the expression.

$u = \frac{10}{7} \cdot 4$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $\frac{10}{7} \cdot 4$ .

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Step 2.2.1.1

Combine $\frac{10}{7}$ and $4$ .

$u = \frac{10 \cdot 4}{7}$

Step 2.2.1.2

Multiply $10$ by $4$ .

$u = \frac{40}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$u = \frac{40}{7}$

Decimal Form:

$u = 5.\overline{714285}$

Mixed Number Form:

$u = 5 \frac{5}{7}$