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Answer :
Certainly! Let's go through the problem step by step:
1. We are given the fraction [tex]\(\frac{2}{20}\)[/tex].
2. Our first goal is to simplify this fraction. A fraction can be simplified by dividing both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD).
3. For [tex]\(\frac{2}{20}\)[/tex]:
- The numerator is 2.
- The denominator is 20.
4. The GCD of 2 and 20 is 2. We divide both the numerator and the denominator by this GCD:
[tex]\[
\frac{2 \div 2}{20 \div 2} = \frac{1}{10}
\][/tex]
5. Now that we have simplified [tex]\(\frac{2}{20}\)[/tex] to [tex]\(\frac{1}{10}\)[/tex], we have the simplified fraction.
6. According to the problem, we need to compare this with the expression [tex]\(\frac{1}{25}\)[/tex].
7. The simplified fraction from the original problem is [tex]\(\frac{1}{10}\)[/tex], which as a decimal is 0.1.
8. The target expression [tex]\(\frac{1}{25}\)[/tex] as a decimal is 0.04 (since [tex]\(\frac{1}{25} = 0.04\)[/tex]).
9. Therefore, [tex]\(\frac{1}{10}\)[/tex] which is 0.1 is not equivalent to [tex]\(\frac{1}{25}\)[/tex], which is 0.04.
So, [tex]\(\frac{2}{20}\)[/tex] simplifies to [tex]\(\frac{1}{10}\)[/tex], and thus it is not equivalent to [tex]\(\frac{1}{25}\)[/tex].
1. We are given the fraction [tex]\(\frac{2}{20}\)[/tex].
2. Our first goal is to simplify this fraction. A fraction can be simplified by dividing both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD).
3. For [tex]\(\frac{2}{20}\)[/tex]:
- The numerator is 2.
- The denominator is 20.
4. The GCD of 2 and 20 is 2. We divide both the numerator and the denominator by this GCD:
[tex]\[
\frac{2 \div 2}{20 \div 2} = \frac{1}{10}
\][/tex]
5. Now that we have simplified [tex]\(\frac{2}{20}\)[/tex] to [tex]\(\frac{1}{10}\)[/tex], we have the simplified fraction.
6. According to the problem, we need to compare this with the expression [tex]\(\frac{1}{25}\)[/tex].
7. The simplified fraction from the original problem is [tex]\(\frac{1}{10}\)[/tex], which as a decimal is 0.1.
8. The target expression [tex]\(\frac{1}{25}\)[/tex] as a decimal is 0.04 (since [tex]\(\frac{1}{25} = 0.04\)[/tex]).
9. Therefore, [tex]\(\frac{1}{10}\)[/tex] which is 0.1 is not equivalent to [tex]\(\frac{1}{25}\)[/tex], which is 0.04.
So, [tex]\(\frac{2}{20}\)[/tex] simplifies to [tex]\(\frac{1}{10}\)[/tex], and thus it is not equivalent to [tex]\(\frac{1}{25}\)[/tex].
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