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convert 3.3% to a fraction in simplest form and a decimal. answer attem…

Question

convert 3.3% to a fraction in simplest form and a decimal.
answer attempt 1 out of 10
fraction:
decimal (edit the repeating and non - repeating part): 0.

Explanation:

Step1: Convert percentage to fraction

Percent means per - 100. So, $3.3\%=\frac{3.3}{100}$.

Step2: Remove the decimal in the numerator

Multiply both the numerator and denominator by 10 to get rid of the decimal in the numerator. $\frac{3.3\times10}{100\times10}=\frac{33}{1000}$. Since 33 and 1000 have no common factors other than 1, the fraction in simplest form is $\frac{33}{1000}$.

Step3: Convert percentage to decimal

To convert a percentage to a decimal, divide the percentage value by 100. $3.3\div100 = 0.033$.

Answer:

Fraction: $\frac{33}{1000}$
Decimal: $0.033$