To express 0.25 as a fraction in its simplest form, follow these steps:
1. Write the decimal as a fraction:
0.25 can be written as [tex]\( \frac{25}{100} \)[/tex] because 0.25 means 25 hundredths.
2. Simplify the fraction:
To simplify [tex]\( \frac{25}{100} \)[/tex], we need to find the greatest common divisor (GCD) of 25 and 100.
- The GCD of 25 and 100 is 25.
3. Divide both the numerator and the denominator by the GCD:
[tex]\( \frac{25 \div 25}{100 \div 25} = \frac{1}{4} \)[/tex]
Therefore, 0.25 in its simplest fraction form is [tex]\( \frac{1}{4} \)[/tex].
4. Select the correct answer from the options provided:
A. [tex]\( \frac{100}{25} \)[/tex]
B. [tex]\( \frac{2}{5} \)[/tex]
C. [tex]\( \frac{4}{1} \)[/tex]
D. [tex]\( \frac{1}{4} \)[/tex]
The correct answer is:
D. [tex]\( \frac{1}{4} \)[/tex]
