Question
Find a fractional notation
7.25%
7.25%
Answers
Answered by
GPT-4 Turbo
To convert a percentage to fractional notation, you would follow these steps:
1. Write the percentage as a ratio over 100. In this case, 7.25% would be written as 7.25/100.
2. Simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, if any.
For 7.25%, since the number contains a decimal (and to make this a proper fraction), we would want to remove the decimal by multiplying both the numerator and the denominator by the same power of 10 that makes the numerator a whole number. Here, we'll multiply by 100 to remove the two decimal places:
7.25 * 100 / 100 * 100 = 725 / 10000
Now, we simplify this fraction. We can see that both the numerator and the denominator are divisible by 25:
725 / 25 / (10000 / 25) = 29 / 400
So, the fractional notation for 7.25% is 29/400.
1. Write the percentage as a ratio over 100. In this case, 7.25% would be written as 7.25/100.
2. Simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, if any.
For 7.25%, since the number contains a decimal (and to make this a proper fraction), we would want to remove the decimal by multiplying both the numerator and the denominator by the same power of 10 that makes the numerator a whole number. Here, we'll multiply by 100 to remove the two decimal places:
7.25 * 100 / 100 * 100 = 725 / 10000
Now, we simplify this fraction. We can see that both the numerator and the denominator are divisible by 25:
725 / 25 / (10000 / 25) = 29 / 400
So, the fractional notation for 7.25% is 29/400.