Mixed Numbers Practice
Convert mixed numbers to improper fractions and back, then compare them like a pro.
How to enter answers
- Improper fractions: type
5/2. - Mixed numbers: type
2 1/3. - Whole-number answers: type
4. - Comparisons: type
<,>, or=.
Problem types
Mixed to improper
Multiply the whole, add the top.
Example: 2 1/2 = 5/2
Improper to mixed
Divide; quotient is the whole.
Example: 7/3 = 2 1/3
Compare mixed numbers
Wholes first, then fractions.
Example: 3 1/4 __ 2 7/8 → >
Missing numerator
Work the conversion backwards.
Example: 3 2/5 = ?/5 → 17
Mixed vs improper
Convert one side, then compare.
Example: 1 2/5 __ 7/5 → =
Word problems
Pizzas and ribbon in mixed numbers.
Example: 2 1/2 pizzas → 5/2
Common slip-ups
Multiplying the numerator too
2 1/2 = 4/2 skipped the add step. Multiply the whole, ADD the numerator: 5/2.
Forgetting the wholes in comparisons
The whole numbers decide first. 3 1/4 beats 2 7/8 even though 7/8 > 1/4.
Leaving a remainder unconverted
7/3 is not 2 R 1 as a final answer — write 2 1/3.