Mixed Numbers and Improper Fractions - Worksheet | Maths Year 5 - Free Printable

Let’s solve each problem one by one. We’re looking for improper fractions — that means the top number (numerator) is bigger than or equal to the bottom number (denominator). Each diagram shows shaded parts of shapes, and we need to count how many total shaded parts there are, and what size each part is.

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Problem 1:

We have two circles. Each circle is divided into 4 equal parts.

- First circle: all 4 parts are shaded → 4/4
- Second circle: 3 parts are shaded → 3/4

Total shaded parts = 4 + 3 = 7
Each whole circle has 4 parts → denominator is 4

So, improper fraction = 7/4

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Problem 2:

Two rectangles. Each rectangle is divided into 9 small squares (3 rows × 3 columns).

- First rectangle: all 9 squares shaded → 9/9
- Second rectangle: 6 squares shaded → 6/9

Total shaded = 9 + 6 = 15
Each whole rectangle has 9 parts → denominator is 9

Improper fraction = 15/9

*(Note: This can be simplified, but since the worksheet just asks to name the improper fraction from the diagram, we leave it as 15/9 unless told otherwise.)*

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Problem 3:

Two circles. Each circle is divided into 8 equal slices.

- First circle: all 8 slices shaded → 8/8
- Second circle: 5 slices shaded → 5/8

Total shaded = 8 + 5 = 13
Denominator = 8

Improper fraction = 13/8

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Problem 4:

Two rectangles. Each rectangle is divided into 12 small squares (3 rows × 4 columns).

- First rectangle: all 12 shaded → 12/12
- Second rectangle: 4 shaded → 4/12

Total shaded = 12 + 4 = 16
Denominator = 12

Improper fraction = 16/12

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Problem 5:

Two circles. Each circle is divided into 10 equal slices.

- First circle: all 10 shaded → 10/10
- Second circle: 7 shaded → 7/10

Total shaded = 10 + 7 = 17
Denominator = 10

Improper fraction = 17/10

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Problem 6:

Three circles. Each circle is divided into 5 equal slices.

- First circle: all 5 shaded → 5/5
- Second circle: all 5 shaded → 5/5
- Third circle: 2 shaded → 2/5

Total shaded = 5 + 5 + 2 = 12
Denominator = 5

Improper fraction = 12/5

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Final Answer:

1. 7/4
2. 15/9
3. 13/8
4. 16/12
5. 17/10
6. 12/5