Improper Fraction to Mixed Number Calculator
An improper fraction has a top number at least as big as the bottom (like 17/5). A mixed number writes the same amount as a whole number plus a proper fraction (3 2/5). Go either way here.
Answer
17/5 = 3 2/5
Step by step
- Divide the numerator by the denominator: 17 ÷ 5 = 3 remainder 2.
- The quotient 3 is the whole number.
- The remainder 2 becomes the new numerator over the same denominator: 2/5.
Answer: 3 2/5
Still stuck? Ask the tutor about these steps
How it works
n ÷ d = q remainder r → q r/dw r/d → (w × d + r)/dTo get a mixed number, divide: how many whole times does the denominator go into the numerator? That is the whole part. What is left over is the new numerator.
To go back, multiply the whole number by the denominator (how many pieces the wholes contain) and add the extra pieces.
Most teachers want final answers as mixed numbers, but improper fractions are easier to multiply and divide with.
Want to see why it works? How to divide fractions — keep, change, flip explained.
Worked example
Write 17/5 as a mixed number.
- 17 ÷ 5 = 3 remainder 2
- Whole part 3, remainder 2 over 5
- 17/5 = 3 2/5
Frequently asked questions
How do you change an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder goes over the original denominator: 11/4 = 2 3/4.
How do you convert 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.