Convert a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.
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Result
2 3/4 as an improper fraction
Step-by-step
Also in Fractions
Fraction Conversion
A mixed number to improper fraction calculator converts a whole-and-fraction value into a single fraction by multiplying the whole number by the denominator, adding the numerator, and keeping the same denominator.
Many fraction operations require both values to be in fraction form. Converting a mixed number to an improper fraction removes the whole-number part so that multiplication, division, and cross-multiplication work correctly.
The resulting improper fraction is mathematically equivalent to the original mixed number and can be simplified or converted back at any time.
Multiply the whole number by the denominator and add the existing numerator. The sum becomes the new numerator over the unchanged denominator.
w n/d = (w × d + n) / d
The whole number w times the denominator d plus the numerator n gives the improper-fraction numerator.
Frequently asked questions
If the whole number is zero, the mixed number is already a proper fraction. The conversion formula still works: zero times the denominator plus the numerator equals the numerator, so the fraction stays the same.
It depends on the next step. If you are about to add or multiply with another fraction, simplifying first can make the numbers smaller. Otherwise, simplify the final result.
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