1. What Is A Mixed Fraction?

A mixed fraction (or mixed number) combines a whole number and a proper fraction. It represents the sum of the whole number and the fractional part. The general form is:

where m is the whole number, n is the numerator, and o is the denominator.

2. How To Convert Mixed Fractions

Mixed fractions can be converted to improper fractions using:

Example: Convert \( 2 \frac{3}{4} \) to improper fraction: \[ \frac{(2 \times 4) + 3}{4} = \frac{11}{4} \]

3. Practical Applications

Details: Mixed fractions are commonly used in everyday measurements (cooking, construction) where quantities include whole units plus fractional parts.

4. Using The Calculator

Tips: Enter the whole number, numerator, and denominator. The calculator will show the improper fraction and decimal equivalent.

5. Frequently Asked Questions (FAQ)

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

Q2: When should I use mixed fractions?
A: Mixed fractions are preferred for final answers and real-world measurements where whole units are meaningful.

Q3: Can any improper fraction be converted to mixed?
A: Yes, by dividing numerator by denominator to get the whole number, with remainder as the new numerator.

Q4: What if my numerator is larger than denominator?
A: The fraction part should be proper (numerator < denominator). If not, convert to a mixed fraction.

Q5: How do I add/subtract mixed fractions?
A: Convert to improper fractions first, perform the operation, then simplify back to mixed if needed.