Question

convert 0.434 to a fraction in simplest form and a percent.
answer
fraction:
percent (edit the repeating and non - repeating part): %

Explanation:

Step1: Convert decimal to fraction

The decimal 0.434 has three decimal places, so we can write it as $\frac{434}{1000}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 434 and 1000. The GCD of 434 and 1000 is 2. Divide both the numerator and the denominator by 2: $\frac{434\div2}{1000\div2}=\frac{217}{500}$.

Step3: Convert decimal to percent

To convert a decimal to a percent, multiply by 100. So, $0.434\times100 = 43.4\%$.

Answer:

Fraction: $\frac{217}{500}$
Percent: $43.4\%$ (In the given percent format: 43.4% can be written as 43.40% if we consider the repeating/non - repeating parts, but since 0.434 is a terminating decimal, the percent is 43.4% or in the boxed format for the percent parts: 43.40% with the first box 43, the second box 4, and the third box 0 (but actually 0.434*100 = 43.4, so the percent is 43.4%).)