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Answer :
To determine which fractions are closer to 0 than to 1, we should compare each fraction to the midpoint between 0 and 1, which is 0.5. If a fraction is less than 0.5, then it is closer to 0 than to 1.
Let's evaluate each of the given fractions:
1. [tex]\(\frac{3}{6}\)[/tex]:
[tex]\(\frac{3}{6}\)[/tex] is equal to 0.5. Since it is exactly in the middle, it is not closer to 0 than to 1.
2. [tex]\(\frac{1}{8}\)[/tex]:
[tex]\(\frac{1}{8}\)[/tex] is equal to 0.125. This is less than 0.5, so [tex]\(\frac{1}{8}\)[/tex] is closer to 0 than to 1.
3. [tex]\(\frac{7}{10}\)[/tex]:
[tex]\(\frac{7}{10}\)[/tex] is equal to 0.7. This is greater than 0.5, so [tex]\(\frac{7}{10}\)[/tex] is closer to 1 than to 0.
4. [tex]\(\frac{20}{50}\)[/tex]:
[tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex], which is equal to 0.4. This is less than 0.5, so [tex]\(\frac{20}{50}\)[/tex] is closer to 0 than to 1.
5. [tex]\(\frac{55}{90}\)[/tex]:
[tex]\(\frac{55}{90}\)[/tex] simplifies to approximately 0.611. This is greater than 0.5, so [tex]\(\frac{55}{90}\)[/tex] is closer to 1 than to 0.
Therefore, the fractions that are closer to 0 than to 1 are [tex]\(\frac{1}{8}\)[/tex] and [tex]\(\frac{20}{50}\)[/tex].
Let's evaluate each of the given fractions:
1. [tex]\(\frac{3}{6}\)[/tex]:
[tex]\(\frac{3}{6}\)[/tex] is equal to 0.5. Since it is exactly in the middle, it is not closer to 0 than to 1.
2. [tex]\(\frac{1}{8}\)[/tex]:
[tex]\(\frac{1}{8}\)[/tex] is equal to 0.125. This is less than 0.5, so [tex]\(\frac{1}{8}\)[/tex] is closer to 0 than to 1.
3. [tex]\(\frac{7}{10}\)[/tex]:
[tex]\(\frac{7}{10}\)[/tex] is equal to 0.7. This is greater than 0.5, so [tex]\(\frac{7}{10}\)[/tex] is closer to 1 than to 0.
4. [tex]\(\frac{20}{50}\)[/tex]:
[tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex], which is equal to 0.4. This is less than 0.5, so [tex]\(\frac{20}{50}\)[/tex] is closer to 0 than to 1.
5. [tex]\(\frac{55}{90}\)[/tex]:
[tex]\(\frac{55}{90}\)[/tex] simplifies to approximately 0.611. This is greater than 0.5, so [tex]\(\frac{55}{90}\)[/tex] is closer to 1 than to 0.
Therefore, the fractions that are closer to 0 than to 1 are [tex]\(\frac{1}{8}\)[/tex] and [tex]\(\frac{20}{50}\)[/tex].
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