Convert mixed fractions to decimals worksheets - Math Worksheets ... - Free Printable
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Step-by-step solution for: Convert mixed fractions to decimals worksheets - Math Worksheets ...
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Step-by-step solution for: Convert mixed fractions to decimals worksheets - Math Worksheets ...
Problem: Convert mixed numbers to decimals
The task is to convert mixed numbers into decimal form. A mixed number consists of a whole number and a fraction. To convert a mixed number to a decimal, follow these steps:
1. Separate the whole number and the fraction.
2. Convert the fraction to a decimal.
3. Add the whole number to the decimal part.
Let's solve each problem step by step.
---
1. \( 68 \frac{61}{100} \)
- Whole number: \( 68 \)
- Fraction: \( \frac{61}{100} \)
- Convert the fraction: \( \frac{61}{100} = 0.61 \)
- Add the whole number: \( 68 + 0.61 = 68.61 \)
Answer: \( 68.61 \)
---
2. \( 69 \frac{8}{10} \)
- Whole number: \( 69 \)
- Fraction: \( \frac{8}{10} \)
- Convert the fraction: \( \frac{8}{10} = 0.8 \)
- Add the whole number: \( 69 + 0.8 = 69.8 \)
Answer: \( 69.8 \)
---
3. \( 94 \frac{75}{100} \)
- Whole number: \( 94 \)
- Fraction: \( \frac{75}{100} \)
- Convert the fraction: \( \frac{75}{100} = 0.75 \)
- Add the whole number: \( 94 + 0.75 = 94.75 \)
Answer: \( 94.75 \)
---
4. \( 75 \frac{6}{10} \)
- Whole number: \( 75 \)
- Fraction: \( \frac{6}{10} \)
- Convert the fraction: \( \frac{6}{10} = 0.6 \)
- Add the whole number: \( 75 + 0.6 = 75.6 \)
Answer: \( 75.6 \)
---
5. \( 63 \frac{62}{100} \)
- Whole number: \( 63 \)
- Fraction: \( \frac{62}{100} \)
- Convert the fraction: \( \frac{62}{100} = 0.62 \)
- Add the whole number: \( 63 + 0.62 = 63.62 \)
Answer: \( 63.62 \)
---
6. \( 46 \frac{5}{10} \)
- Whole number: \( 46 \)
- Fraction: \( \frac{5}{10} \)
- Convert the fraction: \( \frac{5}{10} = 0.5 \)
- Add the whole number: \( 46 + 0.5 = 46.5 \)
Answer: \( 46.5 \)
---
7. \( 21 \frac{90}{100} \)
- Whole number: \( 21 \)
- Fraction: \( \frac{90}{100} \)
- Convert the fraction: \( \frac{90}{100} = 0.90 \)
- Add the whole number: \( 21 + 0.90 = 21.90 \) (or simply \( 21.9 \))
Answer: \( 21.9 \)
---
8. \( 26 \frac{1}{10} \)
- Whole number: \( 26 \)
- Fraction: \( \frac{1}{10} \)
- Convert the fraction: \( \frac{1}{10} = 0.1 \)
- Add the whole number: \( 26 + 0.1 = 26.1 \)
Answer: \( 26.1 \)
---
9. \( 73 \frac{5}{10} \)
- Whole number: \( 73 \)
- Fraction: \( \frac{5}{10} \)
- Convert the fraction: \( \frac{5}{10} = 0.5 \)
- Add the whole number: \( 73 + 0.5 = 73.5 \)
Answer: \( 73.5 \)
---
10. \( 45 \frac{29}{100} \)
- Whole number: \( 45 \)
- Fraction: \( \frac{29}{100} \)
- Convert the fraction: \( \frac{29}{100} = 0.29 \)
- Add the whole number: \( 45 + 0.29 = 45.29 \)
Answer: \( 45.29 \)
---
11. \( 96 \frac{63}{100} \)
- Whole number: \( 96 \)
- Fraction: \( \frac{63}{100} \)
- Convert the fraction: \( \frac{63}{100} = 0.63 \)
- Add the whole number: \( 96 + 0.63 = 96.63 \)
Answer: \( 96.63 \)
---
12. \( 83 \frac{2}{10} \)
- Whole number: \( 83 \)
- Fraction: \( \frac{2}{10} \)
- Convert the fraction: \( \frac{2}{10} = 0.2 \)
- Add the whole number: \( 83 + 0.2 = 83.2 \)
Answer: \( 83.2 \)
---
13. \( 67 \frac{72}{100} \)
- Whole number: \( 67 \)
- Fraction: \( \frac{72}{100} \)
- Convert the fraction: \( \frac{72}{100} = 0.72 \)
- Add the whole number: \( 67 + 0.72 = 67.72 \)
Answer: \( 67.72 \)
---
14. \( 35 \frac{8}{10} \)
- Whole number: \( 35 \)
- Fraction: \( \frac{8}{10} \)
- Convert the fraction: \( \frac{8}{10} = 0.8 \)
- Add the whole number: \( 35 + 0.8 = 35.8 \)
Answer: \( 35.8 \)
---
15. \( 25 \frac{32}{100} \)
- Whole number: \( 25 \)
- Fraction: \( \frac{32}{100} \)
- Convert the fraction: \( \frac{32}{100} = 0.32 \)
- Add the whole number: \( 25 + 0.32 = 25.32 \)
Answer: \( 25.32 \)
---
16. \( 41 \frac{8}{10} \)
- Whole number: \( 41 \)
- Fraction: \( \frac{8}{10} \)
- Convert the fraction: \( \frac{8}{10} = 0.8 \)
- Add the whole number: \( 41 + 0.8 = 41.8 \)
Answer: \( 41.8 \)
---
17. \( 83 \frac{33}{100} \)
- Whole number: \( 83 \)
- Fraction: \( \frac{33}{100} \)
- Convert the fraction: \( \frac{33}{100} = 0.33 \)
- Add the whole number: \( 83 + 0.33 = 83.33 \)
Answer: \( 83.33 \)
---
18. \( 99 \frac{2}{10} \)
- Whole number: \( 99 \)
- Fraction: \( \frac{2}{10} \)
- Convert the fraction: \( \frac{2}{10} = 0.2 \)
- Add the whole number: \( 99 + 0.2 = 99.2 \)
Answer: \( 99.2 \)
---
Final Answers:
\[
\boxed{
\begin{array}{lll}
1. & 68.61 & 2. & 69.8 & 3. & 94.75 \\
4. & 75.6 & 5. & 63.62 & 6. & 46.5 \\
7. & 21.9 & 8. & 26.1 & 9. & 73.5 \\
10. & 45.29 & 11. & 96.63 & 12. & 83.2 \\
13. & 67.72 & 14. & 35.8 & 15. & 25.32 \\
16. & 41.8 & 17. & 83.33 & 18. & 99.2 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of mixed numbers and decimals worksheet.