Fill in the blanks. Fraction Decimal Percent \frac{14}{25} 0.15 25\%
The Correct Answer and Explanation is:
Of course! Here is the completed table with the filled in blanks, followed by a detailed explanation of how each value was calculated.
Completed Table:
| Fraction | Decimal | Percent |
| 14/25 | 0.56 | 56% |
| 3/20 | 0.15 | 15% |
| 1/4 | 0.25 | 25% |
Explanation:
This table requires converting numbers between fraction, decimal, and percent formats. These are three different ways to express the same numerical value. Here is a step by step breakdown of how each blank was filled.
Row 1: Starting with the Fraction 14/25
- To find the Decimal: To convert a fraction to a decimal, you divide the numerator by the denominator.
- Calculation: 14 ÷ 25 = 0.56.
- An alternative method is to make the denominator a power of 10. You can multiply the denominator (25) by 4 to get 100. To keep the fraction’s value, you must also multiply the numerator (14) by 4, which gives 56. The resulting fraction is 56/100, which is written as 0.56 in decimal form.
- To find the Percent: To convert the decimal to a percent, you multiply the decimal value by 100 and add the percent symbol (%).
- Calculation: 0.56 × 100 = 56.
- So, the equivalent percentage is 56%.
Row 2: Starting with the Decimal 0.15
- To find the Fraction: To convert a decimal to a fraction, you write the decimal digits as the numerator and the place value as the denominator. The decimal 0.15 goes to the hundredths place, so we write it as the fraction 15/100. This fraction should then be simplified. The greatest common divisor for 15 and 100 is 5.
- Calculation: 15 ÷ 5 = 3 and 100 ÷ 5 = 20.
- The simplified fraction is 3/20.
- To find the Percent: To convert the decimal 0.15 to a percent, you multiply by 100.
- Calculation: 0.15 × 100 = 15.
- The result is 15%.
Row 3: Starting with the Percent 25%
- To find the Decimal: To convert a percent to a decimal, you divide the number by 100 and remove the percent symbol.
- Calculation: 25 ÷ 100 = 0.25.
- To find the Fraction: To convert a percent to a fraction, you first write the percent as a number over 100. So, 25% becomes 25/100. Then, you simplify the fraction. The greatest common divisor of 25 and 100 is 25.
- Calculation: 25 ÷ 25 = 1 and 100 ÷ 25 = 4.
- The simplified fraction is 1/4.
