A mixed number with a whole-number part and a proper fractional part represents the sum of whole groups and a fraction of the same unit; it can therefore be rewritten as an equivalent fraction by multiplying the whole-number part by the denominator and adding the numerator, while retaining the denominator. This reasoning connects mixed-number representation to fraction operations and equivalence; the scope is positive mixed numbers with nonzero denominators, excluding signed numbers, improper fractional parts within the mixed-number notation, and more generalized forms.
A mixed number has a whole-number part and a fraction part. To convert it to an improper fraction:
Example: Convert to an improper fraction.
Therefore,
The denominator stays the same because the fifths are still the same-sized parts.
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