Final answer:
Converting between fractions, decimals, and percents can be done by using basic arithmetic operations. The answers are 320%, 0.14, 25%, 1/2, 44.44%, 127%, and 1.75 which match with option A.
Step-by-step explanation:
Understanding how to convert between fractions, decimals, and percents is an important part of mathematics. Here, we'll work through each of your questions one by one:
- Percent for 3.2: To find this, think of 3.2 as a decimal. As a decimal, this is simply 3.2/1, which as a percent is 320%. So 3.2 is equal to 320%.
- Decimal for 14 percent: To convert a percent to a decimal, divide by 100. Therefore, 14% as a decimal is 0.14.
- Percent for 1/4: First, convert the fraction to a decimal by dividing the numerator by the denominator, 1 divided by 4 is 0.25. Then, to find the percent, multiply by 100. So, 1/4 is 25%.
- Fraction for 0.5: The decimal 0.5 is equivalent to the fraction 1/2.
- Percent for 4/9: Convert the fraction to a decimal by dividing 4 by 9 to get approximately 0.4444. Multiply by 100 to convert to a percent, getting approximately 44.44%.
- Percent for 1.27: As a decimal, 1.27 is simply 127/100, which means it's 127%.
- Decimal for 175 percent: To convert a percent to a decimal, divide by 100. So, 175% as a decimal is 1.75.
The correct matches for each part of your question are therefore: 320%, 0.14, 25%, 1/2, 44.44%, 127%, and 1.75. Hence, the correct answer is A.