Question

convert 25.1% to a fraction in simplest form and a decimal. answer attempt 2 out of 2 fraction: \\(\frac{251}{1000}\\) decimal (edit the repeating and non - repeating part): 0.2\\(overline{51}\\)

Explanation:

Step1: Convert % to fraction

A percent means per 100, so:
$25.1\% = \frac{25.1}{100}$

Step2: Eliminate decimal in numerator

Multiply numerator and denominator by 10 to remove the decimal:
$\frac{25.1 \times 10}{100 \times 10} = \frac{251}{1000}$

Step3: Simplify the fraction

251 is a prime number, so $\frac{251}{1000}$ is already in simplest form.

Step4: Convert % to decimal

Divide the percent value by 100 by moving the decimal left two places:
$25.1 \div 100 = 0.251$

Answer:

Fraction: $\frac{251}{1000}$
Decimal: $0.251$