Question

convert 66.4% 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, \(66.4\%=\frac{66.4}{100}\). To eliminate the decimal, multiply numerator and denominator by 10: \(\frac{66.4\times10}{100\times10}=\frac{664}{1000}\).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 664 and 1000. The GCD of 664 and 1000 is 8. Divide numerator and denominator by 8: \(\frac{664\div8}{1000\div8}=\frac{83}{125}\).

Step3: Convert percentage to decimal

To convert a percentage to a decimal, divide by 100. So, \(66.4\% = 66.4\div100 = 0.664\).

Answer:

Fraction: \(\frac{83}{125}\)
Decimal: \(0.664\)