Basic Math Examples

$\frac{5}{12} - \frac{1}{4}$

Step 1

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{12} - \frac{1}{4} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{5}{12} - \frac{3}{4 \cdot 3}$

Step 2.2

Multiply $4$ by $3$ .

$\frac{5}{12} - \frac{3}{12}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{5 - 3}{12}$

Step 3.2

Subtract $3$ from $5$ .

$\frac{2}{12}$

Step 4

Cancel the common factor of $2$ and $12$ .

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Step 4.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{12}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $12$ .

$\frac{2 \cdot 1}{2 \cdot 6}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 6}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$