Question

convert 5.2% to a fraction in simplest form and a decimal.
answer attempt 1 out of 10
fraction:
decimal (edit the repeating and non - repeating part):

Explanation:

Step1: Convert percentage to fraction

Percent means per - 100. So $5.2\%=\frac{5.2}{100}$.

Step2: Remove the decimal in the numerator

Multiply both the numerator and denominator by 10 to get $\frac{5.2\times10}{100\times10}=\frac{52}{1000}$.

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 52 and 1000, which is 4. Divide both numerator and denominator by 4: $\frac{52\div4}{1000\div4}=\frac{13}{250}$.

Step4: Convert percentage to decimal

Divide the percentage value by 100. So $5.2\%\div100 = 0.052$.

Answer:

Fraction: $\frac{13}{250}$
Decimal: $0.052$