Mixed Fractions Solver
Enter any mixed fraction below, and I'll show you exactly how to convert it into an improper fraction step-by-step!
Calculation Breakdown
The 3 Easy Steps
Improper Fraction
How to Convert Mixed Fractions to Improper Fractions
What are these Fractions?
A Mixed Fraction (or mixed number) joins a whole number and a proper fraction together—like having $3$ whole pizzas and $\frac{2}{5}$ of another pizza.
An Improper Fraction represents the exact same amount, but states it purely as a single fractional slice format where the top value (numerator) is larger than the bottom value (denominator).
The Formula
Converting is simple! You can use this basic arithmetic formula shortcut every time:
The denominator always stays completely identical!
The Conversion Steps in Detail
1 Multiply
Multiply the big whole number by the bottom denominator number. This determines how many fractional parts make up the full whole counts.
2 Add
Add the existing top numerator number to the result of your multiplication step. This gives you your total structural parts count.
3 Stack & Done
Write that final sum on top as your new numerator, and copy your original denominator directly underneath to finish.