Pre-Algebra Examples

$1 \frac{2}{11} \div \frac{1}{11}$

Step 1

Convert $1 \frac{2}{11}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(1 + \frac{2}{11}) \div \frac{1}{11}$

Step 1.2

Add $1$ and $\frac{2}{11}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$(\frac{11}{11} + \frac{2}{11}) \div \frac{1}{11}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{11 + 2}{11} \div \frac{1}{11}$

Step 1.2.3

Add $11$ and $2$ .

$\frac{13}{11} \div \frac{1}{11}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{13}{11} \cdot 11$

Step 3

Cancel the common factor of $11$ .

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Step 3.1

Cancel the common factor.

$\frac{13}{11} \cdot 11$

Step 3.2

Rewrite the expression.

$13$