TOPIC 6 · GRADES 3–4 FOUNDATION

Build and Decompose Fractions

Compose fractions from unit pieces and split them into useful sums.

MA.3.FR.1.2 · MA.4.FR.2.1

BIG IDEA

A fraction can be decomposed in many valid ways. For example, 5/6 is five copies of 1/6 and also 2/6 + 3/6.

WHAT TO KNOW

  • Unit fractions are building blocks for every fraction.
  • The pieces in a decomposition must total the original amount.
  • Decomposing helps with later addition, subtraction, and mixed numbers.

WATCH OUT

There is usually more than one correct decomposition.

TRY IT

Move the split point to create different addition equations for the same bar.