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.
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Detailed Explanation: Convert mixed numbers to improper fractions
A mixed number has a whole-number part and a fraction part. To convert it to an improper fraction:
- Multiply the whole number by the denominator.
- Add the numerator.
- Keep the same denominator.
Example: Convert to an improper fraction.
- Multiply the whole number by the denominator:
- Add the numerator:
- Keep the denominator, .
Therefore,
The denominator stays the same because the fifths are still the same-sized parts.
Learn by doing: Convert mixed numbers to improper fractions
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Practice:
Fraction Conversion - To Improper
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Download/Modify Free Grade 6 'Convert mixed numbers to improper fractions' Worksheet
Print this free 'Convert mixed numbers to improper fractions' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Fraction Conversion - To Improper
- Fraction Conversion - To Improper - From Image
- Fraction Conversion - To Improper, Wholes Only
- Fraction Concept Intro - Fraction to Picture, Mixed Fraction
- Fraction Concept Intro - Improper Numerator to Picture, Mixed Fraction
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