Flashcard 13 - Math Flashcard Set for the CBEST

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The correct answer is:

Multiply the denominator and the whole number.
Add this number to the numerator.
Write the resulting sum as the new numerator.
Retain the original denominator.
You now have an improper fraction.


Explanation:

Example: The mixed fraction \(3\frac{ 2}{3}\) can be converted to an improper fraction by first multiplying the denominator of the fraction and the whole number, then adding this product to the numerator.
The result is 11 and this becomes the new numerator:

\[\frac{(3 \cdot 3+2)}{3}\]

The original denominator is retained as the denominator of the new mixed fraction:

\[\frac{11}{3}\]

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