Question

question
convert 0.566 to a fraction in simplest form and a percent.

answer attempt 1 out of 2

fraction:

percent (edit the repeating and non - repeating part):
%

submit answer

Explanation:

Step1: Convert decimal to fraction

0.566 can be written as $\frac{0.566}{1}$. To eliminate the decimal, multiply numerator and denominator by 1000 (since there are three decimal places), getting $\frac{566}{1000}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 566 and 1000. The GCD of 566 and 1000 is 2. Divide both numerator and denominator by 2: $\frac{566\div2}{1000\div2}=\frac{283}{500}$.

Step3: Convert decimal to percent

To convert a decimal to a percent, multiply by 100. So, $0.566\times100 = 56.6\%$. Since 0.6 is non - repeating, the percent is $56.\overline{6}\%$ (wait, no, 0.566 is a terminating decimal, so 56.6% where 6 is the non - repeating decimal part? Wait, 0.566 is 566 thousandths. When converting to percent, it's 56.6%, and 0.6 is a terminating decimal? Wait, no, 0.566 = 56.6%, and 6 is the last digit, so the percent is 56.6%, but if we consider the repeating part (but there is no repeating part, it's a terminating decimal). Wait, maybe the problem has a typo, but for 0.566, the percent is 56.6%, and the fraction is $\frac{283}{500}$.

Answer:

Fraction: $\frac{283}{500}$
Percent: $56.6\%$ (or if we consider the repeating notation, but since it's terminating, 56.6% with no repeating part, but maybe the problem expects 56$\overline{6}$%? Wait, no, 0.566 is 56.6%, which is 566/1000 = 283/500 as a fraction and 56.6% as a percent.