Multiply fractions using area models with this educational worksheet, featuring step-by-step instructions and shaded grids for visual learning.

Let’s solve each problem step by step using the area model method shown in the example.

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Problem 1: 4/5 × 1/3

Step 1: Draw a square divided into 5 equal vertical parts (because of denominator 5). Shade 4 of them to show 4/5.

Step 2: Now divide the same square into 3 equal horizontal parts (because of denominator 3). This makes a grid of 5 × 3 = 15 small rectangles total.

Step 3: The fraction we’re multiplying is 1/3, so shade 1 row horizontally across the whole square.

Step 4: Look where the two shadings overlap — that’s the answer. We shaded 4 columns vertically and 1 row horizontally → they overlap in 4 small rectangles.

So, overlapping parts = 4
Total parts = 15
Answer = 4/15

Check if it simplifies: 4 and 15 have no common factors → already simplified.

✔ Final Answer for Problem 1: 4/15

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Problem 2: 3/4 × 2/5

Step 1: Draw a square divided into 4 equal vertical parts. Shade 3 of them to show 3/4.

Step 2: Divide the same square into 5 equal horizontal parts. Total small rectangles = 4 × 5 = 20.

Step 3: Since we’re multiplying by 2/5, shade 2 rows horizontally.

Step 4: Find overlapping shaded areas. We had 3 vertical columns shaded and 2 horizontal rows shaded → overlap = 3 × 2 = 6 small rectangles.

So, overlapping parts = 6
Total parts = 20
Answer = 6/20

Now simplify: Both 6 and 20 can be divided by 2 → 6÷2=3, 20÷2=10 → 3/10

✔ Final Answer for Problem 2: 3/10

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Final Answer:
1. 4/15
2. 3/10