Grade 4 Fractions Worksheet: Convert Mixed Numbers to Decimals

Problem Description:

The task is to convert mixed numbers and fractions into decimal form. The worksheet provides a series of mixed numbers and fractions, and the goal is to express each as a decimal.

Solution Approach:

1. Understanding Mixed Numbers: A mixed number consists of a whole number and a fraction. To convert a mixed number to a decimal:
- Convert the fractional part to a decimal.
- Add the whole number part to the decimal obtained from the fractional part.

2. Converting Fractions to Decimals: To convert a fraction to a decimal:
- Divide the numerator by the denominator.

3. Steps for Each Problem:
- Identify whether the given number is a mixed number or a simple fraction.
- For mixed numbers, separate the whole number and the fractional part.
- Convert the fractional part to a decimal.
- Add the whole number to the decimal result (for mixed numbers).
- For simple fractions, directly divide the numerator by the denominator.

Detailed Solutions:

#### 1. \( 2 \frac{50}{100} \)
- Fractional part: \( \frac{50}{100} = 0.50 \)
- Whole number: \( 2 \)
- Decimal: \( 2 + 0.50 = 2.50 \)

#### 2. \( 4 \frac{8}{10} \)
- Fractional part: \( \frac{8}{10} = 0.8 \)
- Whole number: \( 4 \)
- Decimal: \( 4 + 0.8 = 4.8 \)

#### 3. \( 9 \frac{51}{100} \)
- Fractional part: \( \frac{51}{100} = 0.51 \)
- Whole number: \( 9 \)
- Decimal: \( 9 + 0.51 = 9.51 \)

#### 4. \( \frac{7}{10} \)
- Direct division: \( \frac{7}{10} = 0.7 \)

#### 5. \( 1 \frac{2}{10} \)
- Fractional part: \( \frac{2}{10} = 0.2 \)
- Whole number: \( 1 \)
- Decimal: \( 1 + 0.2 = 1.2 \)

#### 6. \( 1 \frac{37}{100} \)
- Fractional part: \( \frac{37}{100} = 0.37 \)
- Whole number: \( 1 \)
- Decimal: \( 1 + 0.37 = 1.37 \)

#### 7. \( 2 \frac{17}{100} \)
- Fractional part: \( \frac{17}{100} = 0.17 \)
- Whole number: \( 2 \)
- Decimal: \( 2 + 0.17 = 2.17 \)

#### 8. \( 6 \frac{7}{10} \)
- Fractional part: \( \frac{7}{10} = 0.7 \)
- Whole number: \( 6 \)
- Decimal: \( 6 + 0.7 = 6.7 \)

#### 9. \( \frac{36}{100} \)
- Direct division: \( \frac{36}{100} = 0.36 \)

#### 10. \( 8 \frac{4}{10} \)
- Fractional part: \( \frac{4}{10} = 0.4 \)
- Whole number: \( 8 \)
- Decimal: \( 8 + 0.4 = 8.4 \)

#### 11. \( 1 \frac{9}{100} \)
- Fractional part: \( \frac{9}{100} = 0.09 \)
- Whole number: \( 1 \)
- Decimal: \( 1 + 0.09 = 1.09 \)

#### 12. \( \frac{7}{10} \)
- Direct division: \( \frac{7}{10} = 0.7 \)

#### 13. \( 8 \frac{35}{100} \)
- Fractional part: \( \frac{35}{100} = 0.35 \)
- Whole number: \( 8 \)
- Decimal: \( 8 + 0.35 = 8.35 \)

#### 14. \( 3 \frac{6}{10} \)
- Fractional part: \( \frac{6}{10} = 0.6 \)
- Whole number: \( 3 \)
- Decimal: \( 3 + 0.6 = 3.6 \)

#### 15. \( 7 \frac{8}{10} \)
- Fractional part: \( \frac{8}{10} = 0.8 \)
- Whole number: \( 7 \)
- Decimal: \( 7 + 0.8 = 7.8 \)

#### 16. \( 6 \frac{11}{100} \)
- Fractional part: \( \frac{11}{100} = 0.11 \)
- Whole number: \( 6 \)
- Decimal: \( 6 + 0.11 = 6.11 \)

#### 17. \( 6 \frac{26}{100} \)
- Fractional part: \( \frac{26}{100} = 0.26 \)
- Whole number: \( 6 \)
- Decimal: \( 6 + 0.26 = 6.26 \)

#### 18. \( 2 \frac{1}{10} \)
- Fractional part: \( \frac{1}{10} = 0.1 \)
- Whole number: \( 2 \)
- Decimal: \( 2 + 0.1 = 2.1 \)

#### 19. \( \frac{8}{10} \)
- Direct division: \( \frac{8}{10} = 0.8 \)

#### 20. \( 2 \frac{6}{10} \)
- Fractional part: \( \frac{6}{10} = 0.6 \)
- Whole number: \( 2 \)
- Decimal: \( 2 + 0.6 = 2.6 \)

#### 21. \( 8 \frac{19}{100} \)
- Fractional part: \( \frac{19}{100} = 0.19 \)
- Whole number: \( 8 \)
- Decimal: \( 8 + 0.19 = 8.19 \)

Final Answers:

\[
\boxed{
\begin{array}{lll}
1. & 2.50 & 2. & 4.8 & 3. & 9.51 \\
4. & 0.7 & 5. & 1.2 & 6. & 1.37 \\
7. & 2.17 & 8. & 6.7 & 9. & 0.36 \\
10. & 8.4 & 11. & 1.09 & 12. & 0.7 \\
13. & 8.35 & 14. & 3.6 & 15. & 7.8 \\
16. & 6.11 & 17. & 6.26 & 18. & 2.1 \\
19. & 0.8 & 20. & 2.6 & 21. & 8.19 \\
\end{array}
}
\]