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During a lab, Jill made a solution that was [tex]$3\%$[/tex] water. Rewrite this percent as a fraction in simplest form.

A. [tex]\frac{3}{100}[/tex]
B. [tex]\frac{30}{100}[/tex]
C. [tex]\frac{3}{10}[/tex]
D. [tex]\frac{30}{10}[/tex]


Sagot :

To convert [tex]\(3\%\)[/tex] into a fraction in simplest form, let's go through the following steps:

1. Express the percentage as a fraction:
[tex]\(3\%\)[/tex] means 3 parts out of 100. Therefore, it can be initially written as:
[tex]\[ \frac{3}{100} \][/tex]

2. Simplify the fraction:
To simplify the fraction, we need to determine if there is a common divisor between the numerator (3) and the denominator (100).

The greatest common divisor (GCD) of 3 and 100 is 1 because 3 is a prime number and it does not share any common factors with 100 other than 1.

3. Since the GCD is 1, the fraction [tex]\(\frac{3}{100}\)[/tex] is already in its simplest form.

Thus, [tex]\(3\%\)[/tex] as a fraction in simplest form is:
[tex]\[ \frac{3}{100} \][/tex]

Among the given options, [tex]\(\frac{3}{100}\)[/tex] is the correct and simplified fraction representation of [tex]\(3\%\)[/tex].
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