Improper Fraction to Mixed Number Calculator
Switch between improper fractions such as 17/5 and mixed numbers such as 3 2/5 in either direction.
How to use the Improper Fraction to Mixed Number Calculator
- Choose the convert.
- Enter the whole number.
- Enter the numerator.
- Enter the denominator.
- Press Calculate. The result updates automatically as you type.
About the Improper Fraction to Mixed Number Calculator
An improper fraction has a numerator at least as large as its denominator, like 17/5. A mixed number writes the same value as a whole number plus a proper fraction, 3 2/5, which is easier to picture and to measure out. Improper fractions, on the other hand, are much easier to multiply and divide, so you will often convert back and forth during a single problem.
The conversion is just division with a remainder. The quotient becomes the whole number, and the remainder sits over the original denominator. The calculator also reduces the fractional part to lowest terms and shows the decimal value.
Formula
Improper → mixed: a/b = q r/b, where q = a ÷ b (whole part) and r = the remainder
Mixed → improper: w n/d = (w × d + n) / d
Example: 17/5 → 17 ÷ 5 = 3 remainder 2 → 3 2/5. Going back: 3 × 5 + 2 = 17, so 3 2/5 = 17/5.
Example calculation
Using the default values:
- Convert = Improper fraction → mixed number
- Numerator = 17
- Denominator = 5
the calculator returns:
- Result: 3 2/5
- Decimal: 3.4
Frequently asked questions
How do I change an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder over the denominator is the fraction: 22/6 → 3 r 4 → 3 4/6 = 3 2/3.
How do I change a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator and keep the denominator: 2 3/4 = (2 × 4 + 3)/4 = 11/4.
Is 5/5 an improper fraction?
Yes. Any fraction whose numerator is equal to or greater than its denominator is improper; 5/5 equals the whole number 1.
Last updated: · Category: Math calculators