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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
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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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