Calculate
Fraction 1
/
Fraction 2
/
Examples:
A mixed number combines a whole number and a proper fraction (e.g., 2¾ = two and three-quarters). Converting between mixed numbers, improper fractions, and decimals is essential for measurement, cooking, and arithmetic operations.
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Tip: To add mixed numbers: convert to improper fractions first, find common denominator, add, then convert back. Example: 1½ + 2¾ = 3/2 + 11/4 = 6/4 + 11/4 = 17/4 = 4¼.
- 1Mixed to improper: (whole × denominator + numerator) / denominator
- 22¾ = (2×4 + 3)/4 = 11/4
- 3Improper to mixed: divide numerator by denominator; quotient is whole, remainder is new numerator
- 4To decimal: divide the fraction part: 2¾ = 2 + 3/4 = 2 + 0.75 = 2.75
3½ (mixed) → improper=7/2(3×2 + 1)/2 = 7/2
17/5 (improper) → mixed=3⅖17÷5 = 3 remainder 2
| Mixed | Improper | Decimal |
|---|---|---|
| 1½ | 3/2 | 1.5 |
| 1¼ | 5/4 | 1.25 |
| 2⅓ | 7/3 | 2.333... |
| 2¾ | 11/4 | 2.75 |
| 3⅛ | 25/8 | 3.125 |
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Fun Fact
Mixed numbers are rarely used in mathematics beyond elementary school — fractions and decimals are more practical for calculation. However, they remain common in carpentry (lumber measurements like 1⅝ inches), cooking, and everyday measurement.
References
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