TOPIC 4 · GRADES 3–4 FOUNDATION

Compare and Order Fractions

Use equal wholes, benchmark fractions, and number lines to compare sizes.

MA.3.FR.2.1 · MA.4.FR.1.4

BIG IDEA

Fractions farther right on the same number line are greater. With equal denominators compare numerators; with equal numerators, smaller denominators make larger pieces.

LEARN IT WITH A STORY

Which deli sandwich has more left?

Two equal-size sandwiches make a fair comparison. One has 3/4 left and the other has 5/8 left. Matching the cuts reveals that 3/4 equals 6/8, so 3/4 is greater.

  1. 1Make sure the wholes are the same size.
  2. 2Use a benchmark such as 1/2 or rename with equal-size pieces.
  3. 3Compare positions on a number line or the amount covered—not just the digits.
Draw and explain

Compare 2/3 and 3/4 using two equal-length sandwich bars.

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

Comparing fractions | Khan Academy

Pause when a model appears. Name the whole, denominator, numerator, and fraction before the teacher explains it.

Open on YouTube ↗

WHAT TO KNOW

  • Always compare fractions referring to the same-size whole.
  • Use 0, 1/2, and 1 as helpful benchmarks.
  • Cross-products can check a comparison later, but visual size reasoning should come first.

WATCH OUT

A larger denominator does not mean a larger fraction when numerators match.

TRY IT

Compare two fractions using bars and confirm the result on a number line.