College

[tex]42\%[/tex] is the same as which simplified fraction?

A) [tex]\frac{20}{50}[/tex]

B) [tex]\frac{2}{5}[/tex]

C) [tex]\frac{21}{50}[/tex]

D) [tex]\frac{3}{5}[/tex]

Answer :

We start by writing [tex]$42\%$[/tex] as a fraction over 100:

[tex]$$
42\% = \frac{42}{100}.
$$[/tex]

Next, we simplify the fraction by finding the greatest common divisor (GCD) of [tex]$42$[/tex] and [tex]$100$[/tex]. The GCD of [tex]$42$[/tex] and [tex]$100$[/tex] is [tex]$2$[/tex]. Now, divide both the numerator and the denominator by [tex]$2$[/tex]:

[tex]$$
\frac{42 \div 2}{100 \div 2} = \frac{21}{50}.
$$[/tex]

Thus, [tex]$42\%$[/tex] is equivalent to the simplified fraction

[tex]$$
\frac{21}{50}.
$$[/tex]

The correct answer is option C.