Basic Math Examples

$\frac{21}{5} = \frac{c}{7}$

Step 1

Rewrite the equation as $\frac{c}{7} = \frac{21}{5}$ .

$\frac{c}{7} = \frac{21}{5}$

Step 2

Multiply both sides of the equation by $7$ .

$7 \frac{c}{7} = 7 (\frac{21}{5})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1

Cancel the common factor.

$7 \frac{c}{7} = 7 (\frac{21}{5})$

Step 3.1.1.2

Rewrite the expression.

$c = 7 (\frac{21}{5})$

$c = 7 (\frac{21}{5})$

$c = 7 (\frac{21}{5})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $7 (\frac{21}{5})$ .

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Step 3.2.1.1

Combine $7$ and $\frac{21}{5}$ .

$c = \frac{7 \cdot 21}{5}$

Step 3.2.1.2

Multiply $7$ by $21$ .

$c = \frac{147}{5}$

$c = \frac{147}{5}$

$c = \frac{147}{5}$

$c = \frac{147}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$c = \frac{147}{5}$

Decimal Form:

$c = 29.4$

Mixed Number Form:

$c = 29 \frac{2}{5}$

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