A fraction is made up of a numerator, a fraction bar (vinculum) and a denominator. To expand a fraction means to multiply the numerator and denominator by the same factor.
Rule
When you expand a fraction, the value remains the same as before you expanded it. That’s why you can put an equal sign between the two expressions in the rule box, even though they look different. You can confirm this in the examples below with a calculator.
Example 1
Expand the fraction by the factor .
Expand the fraction by the factor .
Expand the fraction by the factor .
Expand the fraction by the factor .
Math Vault
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