Basic Math Examples

$n + \frac{3}{30} = \frac{7}{10}$

Step 1

Cancel the common factor of $3$ and $30$ .

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Step 1.1

Factor $3$ out of $3$ .

$n + \frac{3 (1)}{30} = \frac{7}{10}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $30$ .

$n + \frac{3 \cdot 1}{3 \cdot 10} = \frac{7}{10}$

Step 1.2.2

Cancel the common factor.

$n + \frac{3 \cdot 1}{3 \cdot 10} = \frac{7}{10}$

Step 1.2.3

Rewrite the expression.

$n + \frac{1}{10} = \frac{7}{10}$

Step 2

Move all terms not containing $n$ to the right side of the equation.

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Step 2.1

Subtract $\frac{1}{10}$ from both sides of the equation.

$n = \frac{7}{10} - \frac{1}{10}$

Step 2.2

Combine the numerators over the common denominator.

$n = \frac{7 - 1}{10}$

Step 2.3

Subtract $1$ from $7$ .

$n = \frac{6}{10}$

Step 2.4

Cancel the common factor of $6$ and $10$ .

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Step 2.4.1

Factor $2$ out of $6$ .

$n = \frac{2 (3)}{10}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $2$ out of $10$ .

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

Step 2.4.2.2

Cancel the common factor.

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

Step 2.4.2.3

Rewrite the expression.

$n = \frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{3}{5}$

Decimal Form:

$n = 0.6$