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Grade 4 math worksheet focusing on decimals and tenths, using visual fraction models to convert between fractions and decimals.

Grade 4 math worksheet on decimals and fractions, featuring a diagram of the number 12.15 with place values labeled, and four rows of circular fraction models with corresponding decimal and fraction values to be filled in.

Grade 4 math worksheet on decimals and fractions, featuring a diagram of the number 12.15 with place values labeled, and four rows of circular fraction models with corresponding decimal and fraction values to be filled in.

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Show Answer Key & Explanations Step-by-step solution for: Grade 4 Decimals Worksheets|www.grade1to6.com
Let’s solve this step by step.

Each circle is divided into 10 equal parts (tenths). The colored part shows how many tenths are shaded. We need to write that as a fraction over 10, and then as a decimal.

We’ll go row by row, left to right.

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First row, second circle (red slice):

- Only 1 out of 10 slices is red → Fraction = 1/10
- Decimal = 0.1

→ So first blank: 1/10, second blank: 0.1

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Second row, first circle (orange slices):

- 3 orange slices → Fraction = 3/10
- Decimal = 0.3

→ Blanks: 3/10, 0.3

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Second row, second circle (all red except one white):

- Total slices = 10
- White = 1 → Red = 9 → Fraction = 9/10
- Decimal = 0.9

→ Blanks: 9/10, 0.9

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Third row, first circle (blue slices):

- 4 blue slices → Fraction = 4/10
- Decimal = 0.4

→ Blanks: 4/10, 0.4

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Third row, second circle (yellow slices):

- 2 yellow slices → Fraction = 2/10
- Decimal = 0.2

→ Blanks: 2/10, 0.2

*(Note: This matches the example at top-left — same value.)*

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Fourth row, first circle (red slices):

- 6 red slices → Fraction = 6/10
- Decimal = 0.6

→ Blanks: 6/10, 0.6

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Fourth row, second circle (purple slices):

- 4 purple slices → Fraction = 4/10
- Decimal = 0.4

→ Blanks: 4/10, 0.4

*(Same as third row, first circle — just different color.)*

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Now let’s list all answers in order from top to bottom, left to right:

Row 1, Circle 2:
Fraction: 1/10 → Decimal: 0.1

Row 2, Circle 1:
Fraction: 3/10 → Decimal: 0.3

Row 2, Circle 2:
Fraction: 9/10 → Decimal: 0.9

Row 3, Circle 1:
Fraction: 4/10 → Decimal: 0.4

Row 3, Circle 2:
Fraction: 2/10 → Decimal: 0.2

Row 4, Circle 1:
Fraction: 6/10 → Decimal: 0.6

Row 4, Circle 2:
Fraction: 4/10 → Decimal: 0.4

All calculations checked. Fractions match shaded parts. Decimals are correct conversions (divide numerator by 10).

Final Answer:

1/10, 0.1
3/10, 0.3
9/10, 0.9
4/10, 0.4
2/10, 0.2
6/10, 0.6
4/10, 0.4
Parent Tip: Review the logic above to help your child master the concept of easy decimal worksheet.
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