Question

question
convert 94.9% to a fraction in simplest form and a decimal.

answer attempt 1 out of 2

fraction:

decimal (edit the repeating and non - repeating part):
0.

submit answer

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, getting \( \frac{94.9\times10}{100\times10}=\frac{949}{1000} \). Since 949 and 1000 have no common factors other than 1, this is the simplest form.

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide the percentage value by 100. So, \( 94.9\div100 = 0.949 \). There is no repeating part here, so the decimal is \( 0.949 \).

Answer:

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