Pre-Algebra Examples

$\frac{5}{22} - \frac{5}{11}$

Step 1

To write $- \frac{5}{11}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{22} - \frac{5}{11} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of $22$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{5}{11}$ by $\frac{2}{2}$ .

$\frac{5}{22} - \frac{5 \cdot 2}{11 \cdot 2}$

Step 2.2

Multiply $11$ by $2$ .

$\frac{5}{22} - \frac{5 \cdot 2}{22}$

Step 3

Combine the numerators over the common denominator.

$\frac{5 - 5 \cdot 2}{22}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 5$ by $2$ .

$\frac{5 - 10}{22}$

Step 4.2

Subtract $10$ from $5$ .

$\frac{- 5}{22}$

Step 5

Move the negative in front of the fraction.

$- \frac{5}{22}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{22}$

Decimal Form:

$- 0.2\overline{27}$