Compare Fractions and Decimals by Structure
Sizes are compared by structure: same denominator favors the larger numerator, same numerator favors the smaller denominator, decimals compare highest place first, and the number line locates values between. Learners order fractions, mixed and improper forms, and decimals, often to fill an inequality blank. It builds magnitude sense across number systems.
grade 3–4 NBTNF Draw a DiagramEliminate Possibilities
Progression (7)
3-1 1. Compare decimals from the highest place down 4.NF.C.7
3-1 2. Compare fractions sharing numerator or denominator 3.NF.A.3
3-1 3. Find fractions between two on the number line 3.NF.A.23.NF.A.3
3-2 4. Match fraction forms to compare sizes 3.NF.A.3
3-2 5. Same numerator: smaller denominator is larger 3.NF.A.3
4-2 6. Compare the next digit to fill a blank in decimals 4.NF.C.7
4-2 7. Find the extreme decimal satisfying an inequality 5.NBT.B.74.NF.C.7