TOPIC 9 · GRADE 4 BRIDGE

Common Denominators and Unlike Parts

Rename unlike pieces before combining them, beginning with tenths and hundredths.

MA.4.FR.2.3 · Grade 5 enrichment

BIG IDEA

Fractions can be added only after the pieces use a common unit. Equivalent fractions rename both amounts with the same denominator.

LEARN IT WITH A STORY

Rename juice portions with one cup scale

Tenths and hundredths cannot be counted together until their pieces have the same name. Three tenths becomes thirty hundredths, so 3/10 + 25/100 = 55/100.

  1. 1Find a denominator that both original denominators can make.
  2. 2Use equivalent fractions to rename each amount with that denominator.
  3. 3Combine the now-equal-size parts and check the result against 0, 1/2, and 1.
Draw and explain

Rename 1/2 and 1/5 as tenths, then find their sum with a 10-part bar.

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

Finding common denominators | 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

  • In Grade 4, 3/10 becomes 30/100 so it can combine with hundredths.
  • A common denominator is a shared piece size, often found with common multiples.
  • For 1/2 + 1/3, sixths work: 3/6 + 2/6 = 5/6.

WATCH OUT

Adding tops and bottoms separately changes the piece size and is not valid.

TRY IT

Overlay fraction grids to find a shared partition before adding.