Decompose means to break the numbers apart. What does decompose mean? This can be demonstrated with numbers and fraction models.

The number 4 can be decomposed in various ways. Step-by-Step Only the numerator will be decomposed. The number 4 can be decomposed in various ways. Look at the fraction. 1 + 3 or 2 + 2 or 1 + 1 + 1 + 1 Decompose the fraction the same way. 4 5 1 5 + 3 5 2 5 + 2 5 1 5 + 1 5 + 1 5 + 1 5

The number 3 can be decomposed in different ways. Step-by-Step Only the numerator will be decomposed. The number 3 can be decomposed in different ways. Let’s try another one. 1 +2 or 1 + 1 + 1 Decompose the fraction the same way. 3 8 1 8 + 2 8 1 8 + 1 8 + 1 8

2 3 4 Step-by-Step 1 4 + 2 4 1 4 + 1 4 + 1 4 1 + 1 + 1 + 1 + 1 + 1 In a mixed number, both the whole number and the numerator can be decomposed. Let’s try a mixed number. The whole number 2 can be decomposed as: 1 + 1 The numerator can be decomposed in a variety of ways: 2 3 4 1 + 2 or 1 + 1 + 1 1 + 1 + 1 4 + 2 4 1 + 1 + 1 4 + 1 4 + 1 4

Decompose using numbers and pictures. Work with a partner. 4 3 4 7 5 6 8

Show what you have learned! Decompose using numbers and pictures. Do these all by yourself. 3 2 3 7 2 3 6