Mixed Number ⇄ Improper Fraction Converter
Mixed Number ⇄ Improper Fraction Converter
Choose a direction, then enter either a whole number with a fraction (mixed number) or a numerator/denominator pair (improper fraction) to convert.
Converting a mixed number to an improper fraction means multiplying the whole number by the denominator, adding the numerator, and keeping the same denominator — turning something like 2¾ into the single fraction 11/4. Converting the other direction reverses the process: dividing the numerator by the denominator gives the whole-number part as the quotient, with the remainder becoming the new numerator over the original denominator. Both forms represent exactly the same value, but improper fractions are generally easier to use in the middle of a calculation (especially multiplication and division), while mixed numbers are usually clearer and more intuitive for a final, human-readable answer.
- Mixed number → improper fraction: multiply the whole number by the denominator, add the numerator, and keep the same denominator.
- Improper fraction → mixed number: divide the numerator by the denominator; the quotient is the whole number and the remainder becomes the new numerator.
- Both forms represent the same value — an improper fraction is just a mixed number written as a single fraction.
How do I convert 3 1/2 to an improper fraction?
3 × 2 + 1 = 7, so 3 1/2 = 7/2.
How do I convert 7/2 to a mixed number?
7 ÷ 2 = 3 remainder 1, so 7/2 = 3 1/2.
Mixed Number ⇄ Improper Fraction Converter
Choose a direction, then enter either a whole number with a fraction (mixed number) or a numerator/denominator pair (improper fraction) to convert.
Converting a mixed number to an improper fraction means multiplying the whole number by the denominator, adding the numerator, and keeping the same denominator — turning something like 2¾ into the single fraction 11/4. Converting the other direction reverses the process: dividing the numerator by the denominator gives the whole-number part as the quotient, with the remainder becoming the new numerator over the original denominator. Both forms represent exactly the same value, but improper fractions are generally easier to use in the middle of a calculation (especially multiplication and division), while mixed numbers are usually clearer and more intuitive for a final, human-readable answer.
- Mixed number → improper fraction: multiply the whole number by the denominator, add the numerator, and keep the same denominator.
- Improper fraction → mixed number: divide the numerator by the denominator; the quotient is the whole number and the remainder becomes the new numerator.
- Both forms represent the same value — an improper fraction is just a mixed number written as a single fraction.
How do I convert 3 1/2 to an improper fraction?
3 × 2 + 1 = 7, so 3 1/2 = 7/2.
How do I convert 7/2 to a mixed number?
7 ÷ 2 = 3 remainder 1, so 7/2 = 3 1/2.