Identify the Form
Decide whether the problem begins with a mixed number or an improper fraction.
Free Interactive Math Tool
Mixed Numbers and Improper Fractions
Convert between mixed numbers and improper fractions through guided multiplication, addition, division, remainder, and simplification steps.
Learn the Conversion Methods First
Learn how to convert mixed numbers to improper fractions by multiplying and adding, and how to convert improper fractions to mixed numbers using division and remainders.
Read the Mixed Numbers GuideHow It Works
Convert Step by Step
The steps change depending on the direction of the conversion, but the denominator remains important throughout the process.
Multiply or Divide
Multiply the whole number by the denominator or divide the numerator by the denominator.
Add or Find the Remainder
Add the original numerator or identify the remainder left after division.
Write and Simplify
Write the converted value and simplify the fractional part when necessary.
Interactive Practice
Mixed Number Conversions
Correct
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Problems
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Streak
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Convert the Mixed Number
2
3
5
13
5
1
Multiply
2
Add
3
Convert
Step 1
Multiply the whole number by the denominator.
This finds how many fractional parts are contained in the whole-number portion.
2
5
Step 2
Add the original numerator.
Add the numerator to the product from Step 1. This becomes the improper-fraction numerator.
10
3
Step 3
Write the improper fraction.
Use the sum as the new numerator and keep the original denominator.
2
3
5
Step 1
Divide the numerator by the denominator.
The quotient becomes the whole-number part of the mixed number.
13
5
Step 2
Write the remainder as a fraction.
Use the remainder as the numerator and keep the original denominator.
3
over
5
Step 3
Write the mixed number.
Combine the quotient with the fractional remainder. Simplify the fractional part if needed.
13
5
Great job!
You converted the number correctly.
Remember
Mixed Number Conversion Rules
Mixed to Improper
Multiply the whole number by the denominator, add the numerator, and keep the denominator.
2 3/5 = (2 × 5 + 3)/5 = 13/5
Improper to Mixed
Divide the numerator by the denominator. Use the quotient as the whole number and the remainder as the numerator.
13 ÷ 5 = 2 remainder 3
Keep the Denominator
The original denominator remains the denominator of the converted fraction.
13/5 = 2 3/5
Simplify When Needed
Reduce the fractional part of a mixed number if the numerator and denominator share a common factor.
2 4/6 = 2 2/3
Keep Learning
Learn More About Mixed Numbers
Review mixed numbers, improper fractions, division with remainders, conversion rules, simplification, and worked examples in the complete guide.
Read the Mixed Numbers Guide