Complete the conversions from fraction to decimal to percent Fraction 1/8, 2/25,
The Correct Answer and Explanation is:
Based on the worksheet provided, here are the completed conversions:
- For the fraction 1/8, the decimal is 0.125 and the percentage is 12.5%.
- For the fraction 2/25, the decimal is 0.08 and the percentage is 8%.
Explanation:
Converting a fraction to a decimal and then to a percentage is a fundamental mathematical process involving two main steps.
First, to convert a fraction into a decimal, you perform the division that the fraction represents. A fraction is essentially the numerator divided by the denominator. For the fraction 1/8, you would divide 1 by 8. This calculation (1 ÷ 8) results in the decimal 0.125. This is why the worksheet shows the beginning of this answer with “0.12”. For the fraction 2/25, you divide 2 by 25, which gives you 0.08. An alternative method for a fraction like 2/25 is to find an equivalent fraction with a denominator that is a power of 10, such as 100. By multiplying both the numerator and the denominator by 4, you get the equivalent fraction 8/100. The fraction 8 hundredths is written directly as the decimal 0.08.
Second, to convert a decimal into a percentage, you multiply the decimal by 100. The word “percent” literally means “per hundred,” so this conversion finds how many parts per hundred the decimal represents. A simple way to multiply by 100 is to move the decimal point two places to the right. For the first example, taking the decimal 0.125 and moving the decimal point two places to the right gives you 12.5. You then add the percent symbol (%), resulting in 12.5%. For the second example, when you convert the decimal 0.08 to a percentage, you move the decimal point two places to the right to get 8, and then add the percent symbol to make it 8%. Following these two steps allows for a smooth and accurate conversion from any fraction to its corresponding decimal and percentage forms.
