High School

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Which of the following shows [tex]$25\%$[/tex] as a fraction and as a decimal?

A. [tex]\frac{1}{25}[/tex] and 0.25
B. [tex]\frac{1}{4}[/tex] and 0.25
C. [tex]\frac{25}{100}[/tex] and 2.5
D. [tex]\frac{1}{2}[/tex] and 2.5

Answer :

To express [tex]$25\%$[/tex] as a fraction and a decimal, follow these steps:

1. We know that [tex]$25\%$[/tex] means [tex]$25$[/tex] out of [tex]$100$[/tex], which can be written as
[tex]$$\frac{25}{100}.$$[/tex]

2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is [tex]$25$[/tex]:
[tex]$$\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}.$$[/tex]

3. To express [tex]$25\%$[/tex] as a decimal, convert the fraction [tex]$\frac{25}{100}$[/tex] by moving the decimal two places to the left:
[tex]$$25\% = \frac{25}{100} = 0.25.$$[/tex]

Thus, [tex]$25\%$[/tex] is equivalent to [tex]$\frac{1}{4}$[/tex] as a fraction and [tex]$0.25$[/tex] as a decimal. This corresponds to the option with [tex]$\frac{1}{4}$[/tex] and [tex]$0.25$[/tex].

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