Question

convert 32.8% 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, \( 32.8\%=\frac{32.8}{100} \). To eliminate the decimal in the numerator, multiply numerator and denominator by 10: \( \frac{32.8\times10}{100\times10}=\frac{328}{1000} \). Now, simplify this fraction by finding the greatest common divisor (GCD) of 328 and 1000. The GCD of 328 and 1000 is 8. Divide numerator and denominator by 8: \( \frac{328\div8}{1000\div8}=\frac{41}{125} \).

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide by 100. So, \( 32.8\% = 32.8\div100 = 0.328 \).

Answer:

Fraction: \(\frac{41}{125}\)
Decimal: \(0.328\)