Question

Use the area models to answer the question. The fraction of area model A is 4 12 . The fraction of area model B is 3 9 . Compare the two fractions and write an equation or inequality to show how the two fractions are related. Use <, >, or =. Two rectangles are shown. The left rectangle is divided into 12 equal parts and arranged in 3 rows of 4 cells each. 4 of these cells are colored yellow. The right rectangle is divided into 9 equal parts and arranged in 3 rows of 3 cells each. 3 of these cells are colored yellow.

Answer 1

4/12 = 3/9

Explanation:

Each area model shows 3 rows of cells. In each model, one of those three rows is colored yellow. That is each model shows the fraction is equivalent to 1/3:

4/12 = 1/3

3/9 = 1/3

Then the relation between the given fractions is an application of the substitution property of equality:

4/12 = 3/9