15
% of a quantity is equal to what fraction of the quantity?
11
15
% of a quantity is equal to of the quantity.
(Simplify your answer.)



Answer :

Sure, let's solve the problem step-by-step.

1. Express 15% as a Fraction:
- Percent means per hundred, so 15% means [tex]\( \frac{15}{100} \)[/tex].

2. Simplify the Fraction [tex]\( \frac{15}{100} \)[/tex]:
- Find the greatest common divisor (GCD) of 15 and 100.
- The GCD of 15 and 100 is 5.
- Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} \][/tex]

So, 15% of a quantity is equivalent to [tex]\( \frac{3}{20} \)[/tex] of the quantity. This fraction is in simplest form.

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