Question

convert 0.513 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

0.513 has three decimal places, so we can write it as $\frac{513}{1000}$. To check if it's in simplest form, we find the greatest common divisor (GCD) of 513 and 1000. The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. The GCD of 513 and 1000 is 1, so $\frac{513}{1000}$ is in simplest form.

Step2: Convert decimal to percent

To convert a decimal to a percent, we multiply by 100. So, $0.513\times100 = 51.3\%$. Since 0.513 is a terminating decimal, there is no repeating part. So the percent is $51.3\%$ (or we can write it as $51.300\%$ but usually, we write it as $51.3\%$).

Answer:

Fraction: $\frac{513}{1000}$
Percent: $51.3\%$ (or in the given format: 51. 3 0 % but more accurately 51.3%)