Complete the following tables. Fraction Decimal Percent 11. 1 4 12. 2 5 13. 0.44 14. 0.08 15. 78% 8.5% 16. 17. 0.125 18. 0.1825 88.67% 19. 93.09% 20.
The Correct Answer and Explanation is:
Here’s the completed table for entries 11 to 20:
| # | Fraction | Decimal | Percent |
|---|---|---|---|
| 11 | 1/4 | 0.25 | 25% |
| 12 | 2/5 | 0.4 | 40% |
| 13 | 11/25 | 0.44 | 44% |
| 14 | 2/25 | 0.08 | 8% |
| 15 | 39/50 | 0.78 | 78% |
| 16 | 17/200 | 0.085 | 8.5% |
| 17 | 1/8 | 0.125 | 12.5% |
| 18 | 73/400 | 0.1825 | 18.25% |
| 19 | 8867/10000 | 0.8867 | 88.67% |
| 20 | 9309/10000 | 0.9309 | 93.09% |
Explanation (approximately 300 words)
Understanding how to convert between fractions, decimals, and percentages is a foundational math skill. All three forms describe parts of a whole, but they are presented differently. Here’s a breakdown of how these conversions work.
To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number). For example, 1 divided by 4 gives 0.25. Similarly, 2 divided by 5 gives 0.4. Once you have the decimal, converting it into a percentage involves multiplying by 100. So, 0.25 becomes 25 percent and 0.4 becomes 40 percent.
To reverse this, converting from a decimal to a fraction, you look at the place value. A decimal like 0.44 is read as 44 hundredths, which means it can be written as 44 over 100. Simplifying this by dividing the top and bottom by 4 gives 11 over 25. To convert a decimal to a percentage, you still multiply by 100, so 0.44 becomes 44 percent.
If you begin with a percentage, divide by 100 to get a decimal. For instance, 78 percent becomes 0.78. Then write the decimal as a fraction and simplify if needed. Since 0.78 is equivalent to 78 hundredths, the fraction form is 78 over 100, which simplifies to 39 over 50.
By understanding place values and practicing consistent operations like dividing or multiplying by 100, you can easily move between the three formats. This skill is practical for interpreting data, financial literacy, and making everyday decisions more numerically informed.
