3/8= 0.375= 37.5%
0.65= 65%= 13/20
14.5%= 0.145= 1 9/20
The first two are correct. The last answer is wrong.
14.5%= 0.145= 29/200
Right. :-)
To understand how these equivalent expressions are calculated, let's break it down step by step:
1. Converting fractions to percentages:
To convert a fraction to a percentage, you can divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. For example, to convert 3/8 to a percentage, you would calculate:
(3 ÷ 8) × 100 = 0.375 × 100 = 37.5%
2. Converting decimal numbers to percentages:
To convert a decimal number to a percentage, you need to multiply the decimal by 100. For example, to convert 0.65 to a percentage, you would calculate:
0.65 × 100 = 65%
3. Converting percentages to fractions or decimal numbers:
To convert a percentage to a fraction, you divide the percentage value by 100 and simplify the fraction. For example, to convert 14.5% to a fraction, you would calculate:
14.5 ÷ 100 = 0.145
To convert this decimal to a fraction, you need to determine the place value of the decimal. In this case, it is in the tenths place, so you write it as 0.145. To express it as a fraction, the denominator should be a power of 10. Since 0.145 is equivalent to 14.5/100, you can simplify the fraction by dividing both the numerator and denominator by 5, giving you:
14.5 ÷ 5 / 100 ÷ 5 = 2.9/20 = 1 9/20
So, 3/8 is equivalent to 37.5%, 0.65 is equivalent to 65%, and 14.5% is equivalent to 0.145 or 1 9/20.