Guides
To convert an improper fraction to a mixed number, divide the numerator by the denominator: the quotient is the whole part and the remainder sits over the original denominator.
Simplify the result with the Fraction Simplifier.
Improper vs mixed
An improper fraction has a numerator at least as big as its denominator (e.g. 17/5). A mixed number combines a whole number and a proper fraction (e.g. 3 2/5).
The conversion steps
Divide numerator by denominator. The whole-number quotient is the integer part; the remainder becomes the new numerator over the same denominator.
Worked example: 17/5
17 ÷ 5 = 3 remainder 2, so 17/5 = 3 2/5.
Converting back
To go from a mixed number to an improper fraction, multiply the whole part by the denominator and add the numerator: 3 2/5 = (3 × 5 + 2)/5 = 17/5.
Always simplify
Reduce the fractional part to lowest terms using its GCF. For example 2 4/8 simplifies to 2 1/2. The Fraction Simplifier shows the mixed number, decimal and simplest form together.
Key takeaways
- Divide numerator by denominator to convert.
- Quotient = whole part; remainder = new numerator.
- Reverse it by multiplying back and adding.
- Always reduce the fractional part by the GCF.
Fraction Simplifier
Simplify a fraction and see its mixed number and decimal forms instantly.
Open the Fraction SimplifierFrequently asked questions
How do you turn an improper fraction into a mixed number?
Divide the numerator by the denominator; the quotient is the whole part and the remainder goes over the same denominator.
How do you convert a mixed number back to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and place the result over the denominator.
Should I simplify the result?
Yes — reduce the fractional part by its GCF so the mixed number is in lowest terms.
The LCM Calculator Team
Math educators and engineers building free, accurate calculators with step-by-step solutions, visual diagrams and AI insights.