Basic Math Examples

$\frac{7}{10} = \frac{n}{15}$

Step 1

Rewrite the equation as $\frac{n}{15} = \frac{7}{10}$ .

$\frac{n}{15} = \frac{7}{10}$

Step 2

Multiply both sides of the equation by $15$ .

$15 \frac{n}{15} = 15 (\frac{7}{10})$

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 $15$ .

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Step 3.1.1.1

Cancel the common factor.

$15 \frac{n}{15} = 15 (\frac{7}{10})$

Step 3.1.1.2

Rewrite the expression.

$n = 15 (\frac{7}{10})$

$n = 15 (\frac{7}{10})$

$n = 15 (\frac{7}{10})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $15 (\frac{7}{10})$ .

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Step 3.2.1.1

Cancel the common factor of $5$ .

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Step 3.2.1.1.1

Factor $5$ out of $15$ .

$n = 5 (3) \frac{7}{10}$

Step 3.2.1.1.2

Factor $5$ out of $10$ .

$n = 5 \cdot 3 \frac{7}{5 \cdot 2}$

Step 3.2.1.1.3

Cancel the common factor.

$n = 5 \cdot 3 \frac{7}{5 \cdot 2}$

Step 3.2.1.1.4

Rewrite the expression.

$n = 3 (\frac{7}{2})$

$n = 3 (\frac{7}{2})$

Step 3.2.1.2

Combine $3$ and $\frac{7}{2}$ .

$n = \frac{3 \cdot 7}{2}$

Step 3.2.1.3

Multiply $3$ by $7$ .

$n = \frac{21}{2}$

$n = \frac{21}{2}$

$n = \frac{21}{2}$

$n = \frac{21}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{21}{2}$

Decimal Form:

$n = 10.5$

Mixed Number Form:

$n = 10 \frac{1}{2}$

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