📐 Mixed Fraction Calculator
Convert mixed fractions to improper fractions and decimals instantly.
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Improper Fraction
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How to Convert a Mixed Fraction to an Improper Fraction
A mixed fraction is composed of a whole number and a fraction part. To convert it into an improper fraction (where the top number is larger than the bottom number), follow these steps:
Improper Numerator = (Whole Number × Denominator) + Numerator
- Multiply the whole number by the denominator (bottom number).
- Add the numerator (top number) to your result.
- Keep the denominator exactly the same.
Example Calculation
Let's convert 3 ½ into an improper fraction:
- Multiply whole number (3) by denominator (2): 3 × 2 = 6
- Add the numerator (1): 6 + 1 = 7
- Put it over the original denominator (2): 7/2
How to Convert a Mixed Fraction to a Decimal
Converting to a decimal is very straightforward. You simply need to divide the fraction part and add the whole number back.
- Take the fraction part and divide the top number by the bottom number (e.g., 1 ÷ 2 = 0.5).
- Add the whole number to the decimal (e.g., 3 + 0.5 = 3.5).
Frequently Asked Questions
Can a mixed fraction be negative? +
Yes! If the whole number is negative, the entire fraction is negative. For example, -2 1/4 means -(2 + 1/4) = -2.25. Our calculator handles negative mixed fractions perfectly.
What is an improper fraction? +
An improper fraction is one where the numerator (top) is greater than or equal to the denominator (bottom). They are easier to use in multiplication and division than mixed fractions.