Question

convert 25.3% to a fraction in simplest form and a decimal.
answer
fraction:
decimal (edit the repeating and non - repeating part):
0.

Explanation:

Step1: Convert percentage to fraction

To convert a percentage to a fraction, we divide by 100. So, \(25.3\%=\frac{25.3}{100}\). To eliminate the decimal in the numerator, we multiply both the numerator and the denominator by 10 (since there is one decimal place), getting \(\frac{25.3\times10}{100\times10}=\frac{253}{1000}\). We check if 253 and 1000 have a common factor. The factors of 253 are 1, 11, 23, 253 and the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There is no common factor other than 1, so \(\frac{253}{1000}\) is in simplest form.

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide by 100. So, \(25.3\% = 25.3\div100 = 0.253\). Since 0.253 has no repeating part, the non - repeating part is 253.

Answer:

Fraction: \(\frac{253}{1000}\)
Decimal (Edit the repeating and non - repeating part): \(0.\underline{253}\) (non - repeating part is 253, no repeating part)