Module 4 · Fractions · Lesson 18 of 39
Mixed numbers and improper fractions
Switch between 2 3/7 and 17/7.
In this lesson · about 12 minutes
- Tell proper fractions, improper fractions and mixed numbers apart
- Convert a mixed number to an improper fraction
- Convert an improper fraction to a mixed number
| Kind | Rule | Example |
|---|---|---|
| Proper fraction | numerator < denominator | 35 |
| Improper fraction | numerator ≥ denominator | 65 |
| Mixed number | a whole number and a proper fraction | 115 |
65 and 115 are the same amount: one whole (five fifths) plus one more fifth.
Mixed → improper
Multiply the whole number by the denominator, add the numerator, keep the denominator. 237 = 2 · 7 + 37 = 177.
Improper → mixed
Divide. The quotient is the whole number and the remainder is the new numerator. 196: 19 ÷ 6 = 3 remainder 1, so 196 = 316.
Loading practice…
Loading practice…
Practice sets mastered: 0 of 2
Tip: master each practice set first (get 5 right in a row).
Noviq Academy Pre-Algebra is free and for learning. Practice problems are generated fresh each time; if you think an answer is wrong, tell us through the contact page.