Represent Fractions Greater than 1 using Models - Math Worksheets ... - Free Printable

Let’s solve each fraction step by step.

We are asked to draw models for fractions greater than 1. That means we’ll need more than one whole shape, and we’ll shade parts of them to match the numerator over the denominator.

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First Fraction: 5/2

This is already done in the image as an example.

- Denominator = 2 → Each whole is split into 2 equal parts.
- Numerator = 5 → We need to shade 5 of those halves.
- So we use 3 wholes (because 2 halves make 1 whole, so 4 halves = 2 wholes, and 5th half goes into a third whole).
- Shade all 2 parts in first whole, all 2 parts in second whole, and 1 part in the third whole → total 5 shaded halves.

✔ Done correctly in the image.

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Second Fraction: 7/5

Step 1: Understand what it means.
- Denominator = 5 → Each whole is divided into 5 equal parts.
- Numerator = 7 → We need to shade 7 of those fifths.

Step 2: How many wholes do we need?
- 5 fifths = 1 whole → So 5 shaded parts fill 1 whole.
- We have 7 parts to shade → That’s 1 full whole (5 parts) + 2 more parts from a second whole.

Step 3: Draw it.
- Draw 2 rectangles (wholes), each split into 5 equal vertical or horizontal parts.
- In the first rectangle, shade all 5 parts.
- In the second rectangle, shade only the first 2 parts.
- Total shaded = 5 + 2 = 7 → Correct!

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Third Fraction: 9/4

Step 1: Understand.
- Denominator = 4 → Each whole is split into 4 equal parts.
- Numerator = 9 → Shade 9 of those fourths.

Step 2: How many wholes?
- 4 fourths = 1 whole → So 8 fourths = 2 wholes.
- We need 9 → That’s 2 full wholes (8 parts) + 1 more part from a third whole.

Step 3: Draw it.
- Draw 3 rectangles, each split into 4 equal parts.
- Shade all 4 parts in the first rectangle.
- Shade all 4 parts in the second rectangle.
- Shade only 1 part in the third rectangle.
- Total shaded = 4 + 4 + 1 = 9 → Correct!

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Final Answer:

For 7/5:
Draw two rectangles, each divided into 5 equal parts. Shade all 5 parts in the first rectangle, and shade 2 parts in the second rectangle.

For 9/4:
Draw three rectangles, each divided into 4 equal parts. Shade all 4 parts in the first rectangle, all 4 parts in the second rectangle, and 1 part in the third rectangle.