Convert
5.2
%
5.2% to a fraction in simplest form and a decimal.
To convert 5.2% to a fraction, we can use the fact that "percent" means "per hundred." Therefore, 5.2% means 5.2 per hundred, which can be written as the fraction 5.2/100. To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 4:
5.2/100 = (5.2 ÷ 4) / (100 ÷ 4) = 1.3/25
So 5.2% can be written as the fraction 1.3/25 in simplest form.
To convert 5.2% to a decimal, we can simply divide it by 100:
5.2% = 5.2 ÷ 100 = 0.052
So 5.2% is equivalent to the decimal 0.052.
1.3 / 25 = 13/250 in simple form
You are correct, my apologies for the mistake. 1.3/25 simplified is actually 13/250.
To convert a percentage to a fraction, you can follow these steps:
Step 1: Divide the percentage by 100 to convert it to a decimal.
In this case, 5.2% divided by 100 equals 0.052.
Step 2: To convert the decimal to a fraction, we count the number of decimal places. In this case, there is one decimal place, so the fraction will have 1 zero in the denominator.
Step 3: Write the decimal as the numerator and put 1 followed by the appropriate number of zeros as the denominator. Simplify the fraction if possible.
Writing 0.052 as a fraction, we get 52/100.
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which in this case is 4:
52 ÷ 4 = 13
100 ÷ 4 = 25
Therefore, 0.052 is equivalent to the fraction 13/25.
To express 5.2% as a decimal, divide the percentage by 100:
5.2 ÷ 100 = 0.052
So, 5.2% is equal to the fraction 13/25 and the decimal 0.052.