Dividing Fractions by Fractions - Using the Area Model WORKSHEET

Using the area model to divide fractions is a visual method that helps students understand what division of fractions actually means. This approach involves using two identical rectangles, each divided lengthways by one denominator and horizontally by the other denominator, creating a grid of equal-sized pieces in both rectangles. One rectangle is shaded to represent the dividend and the other is shaded to represent the divisor. Students then determine how many divisor-sized pieces fit into the dividend by comparing the shaded regions.

Section A focuses on quotients less than 1. Students complete eight division problems with increasing difficulty, progressing from same denominators to related denominators, and finally to unrelated denominators. All denominators are kept at 6 or below to ensure the area models remain manageable.

Section B presents four further problems where quotients are greater than 1.

Section C contains two reasoning and problem-solving questions that deepen conceptual understanding.