Improper Fraction to Mixed Number Tool
This improper fraction calculator converts in both directions. Type an improper fraction such as 17/5 to get the mixed number 3 2/5, or type a mixed number with a space, such as 3 2/5, to get the improper fraction 17/5. Negative numbers and decimals work too. Every answer is reduced to lowest terms and shows the steps: divide the numerator by the denominator for the whole number and remainder, or multiply the whole number by the denominator and add the numerator. You also get the decimal and percent equivalents.
Improper Fraction Calculator
Convert an improper fraction to a mixed number, or a mixed number to an improper fraction, with steps.
How to use the Improper Fraction Calculator
- Type an improper fraction (17/5) or a mixed number (3 2/5).
- The calculator detects which way to convert.
- Read the answer in lowest terms.
- Follow the steps to check your work.
Conversion rules
Improper → mixed: a/b = (a ÷ b) and (a mod b)/b · Mixed → improper: w n/d = (w × d + n)/d
Features
- Improper fraction to mixed number
- Mixed number to improper fraction
- Reduces to lowest terms
- Steps shown
- Decimal and percent
Frequently asked questions
What is an improper fraction?
A fraction whose numerator is equal to or larger than its denominator, such as 7/4 or 5/5. Its value is 1 or more.
How do you convert 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: 17 ÷ 5 = 3 R 2, so 17/5 = 3 2/5.
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: 3 2/5 = (3 × 5 + 2)/5 = 17/5.
Is 8/4 an improper fraction?
Yes. It equals the whole number 2, so its mixed number form is just 2.
How do I write a negative mixed number?
Put the minus sign in front of the whole number: −7/4 = −1 3/4, which means −(1 + 3/4).