TOPIC 8 · GRADE 4 FOUNDATION
Improper Fractions and Mixed Numbers
Regroup fractions greater than one between improper and mixed forms.
MA.4.FR.2.1–2.2BIG IDEA
A mixed number and an improper fraction can name the same location. Complete denominator-sized groups form wholes; leftovers remain fractional parts.
LEARN IT WITH A STORY
Pack bread pieces into whole loaves
Seven fourth-size bread pieces make one complete loaf of 4/4 with 3/4 left. So 7/4 and 1 3/4 name the same amount.
- 1Group denominator-many pieces to make each whole.
- 2Count the complete groups for the whole-number part.
- 3Write leftover pieces over the original denominator.
Draw and explain
Use fourth-size pieces to show why 11/4 equals 2 3/4.
FRACTION WORD BANK
Tap a word, then turn the card
Say the word aloud before revealing its meaning. Tap again to return to the word.
WATCH AND NOTICE
Converting Improper Fractions and Mixed Numbers | Math with Mr. J
Pause when a model appears. Name the whole, denominator, numerator, and fraction before the teacher explains it.
Open on YouTube ↗WHAT TO KNOW
- 7/4 contains one group of 4/4 and 3/4, so it equals 1 3/4.
- Multiply whole × denominator and add the numerator to return to improper form.
- Models should use equal-size wholes and continue beyond one.
WATCH OUT
An improper fraction is not an invalid fraction; it simply has value at least one.
TRY IT
Group fraction pieces into wholes and watch both notations update.