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Mixed Number to Improper Fraction Converter

This tool converts any mixed number (a whole number with a fraction) into an improper fraction. It's useful for simplifying expressions, solving equations, or preparing values for fraction operations. Just enter your mixed number, and get the improper fraction instantly.

Convert Mixed Numbers into Improper Fractions

Input Fields
W
Enter the whole part of the mixed number (can be negative)
n
d
If enabled, the result will update automatically when you change any value.

Mixed to Improper Fraction Formula

Formula
$$a\ \frac{b}{c} = \frac{a \cdot c + b}{c}$$

Explanation:
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Mixed Number Conversion – Calculation Example

Convert: 3 2/5

  1. 3 × 5 = 15
  2. 15 + 2 = 17
  3. Result = 17/5

Result: 3 2/5 = 17/5

Converting mixed numbers to improper fractions is essential in algebra and arithmetic when performing operations like multiplication or division. This tool streamlines the process, ensuring accuracy and saving time for students, teachers, and professionals in technical fields.

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