1. What is a Mixed Fraction?

A mixed fraction is a combination of a whole number and a proper fraction (where the numerator is less than the denominator). For example, 2 1/3 is a mixed fraction representing 2 + 1/3.

2. How to Convert Mixed to Improper Fraction

The conversion formula is:

Where:

• Multiply the whole number by the denominator
• Add the numerator to this product
• Keep the same denominator
• Simplify if possible by finding the greatest common divisor (GCD)

Example: Convert 3 1/2 to improper fraction:
3 × 2 + 1 = 7, so 7/2

3. When to Use This Conversion

Details: Improper fractions are often easier to work with in mathematical operations like multiplication, division, and comparison of fractions.

4. Using the Calculator

Tips: Enter the whole number, numerator and denominator. The calculator will convert to improper fraction and simplify if possible.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between mixed and improper fractions?
A: Mixed fractions combine whole numbers with proper fractions, while improper fractions have numerators equal to or larger than denominators.

Q2: Why convert to improper fractions?
A: Improper fractions are easier to use in calculations and algebraic operations.

Q3: Can all mixed numbers be converted to improper fractions?
A: Yes, any mixed number can be converted to an improper fraction using this method.

Q4: How do I simplify the resulting fraction?
A: Find the greatest common divisor (GCD) of numerator and denominator, then divide both by the GCD.

Q5: What if my fraction is already proper?
A: If there's no whole number (whole = 0), the calculator will treat it as a proper fraction and may simplify it.