Question

convert 94.9% 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, \(94.9\%=\frac{94.9}{100}\). To eliminate the decimal in the numerator, we multiply both the numerator and the denominator by 10 (since there is one decimal place), getting \(\frac{94.9\times10}{100\times10}=\frac{949}{1000}\). We check if 949 and 1000 have any common factors. The factors of 949: we test divisibility. 949 divided by 13 is 73 (13×73 = 949), and 1000 factors are 2×2×2×5×5×5. No common factors, so \(\frac{949}{1000}\) is in simplest form.

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide by 100. So, \(94.9\% = 94.9\div100 = 0.949\). There is no repeating part here as it's a terminating decimal.

Answer:

Fraction: \(\frac{949}{1000}\)
Decimal: \(0.949\) (non - repeating part is 949, no repeating part)