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Which fractions are closer to 0 than 1? Check all that apply.

- [tex]\frac{1}{8}[/tex]
- [tex]\frac{3}{6}[/tex]
- [tex]\frac{7}{10}[/tex]
- [tex]\frac{20}{50}[/tex]
- [tex]\frac{55}{90}[/tex]

Answer :

To determine which fractions are closer to 0 than to 1, we need to compare each fraction to the halfway point, which is 0.5. Let's check each fraction:

1. [tex]\(\frac{3}{6}\)[/tex]:
- To find the value of this fraction, divide 3 by 6.
- [tex]\(\frac{3}{6} = 0.5\)[/tex].
- This fraction is exactly 0.5, so it's not closer to 0 than to 1.

2. [tex]\(\frac{1}{8}\)[/tex]:
- Divide 1 by 8.
- [tex]\(\frac{1}{8} = 0.125\)[/tex].
- Since 0.125 is less than 0.5, [tex]\(\frac{1}{8}\)[/tex] is closer to 0.

3. [tex]\(\frac{7}{10}\)[/tex]:
- Divide 7 by 10.
- [tex]\(\frac{7}{10} = 0.7\)[/tex].
- Since 0.7 is greater than 0.5, [tex]\(\frac{7}{10}\)[/tex] is closer to 1.

4. [tex]\(\frac{20}{50}\)[/tex]:
- Divide 20 by 50.
- [tex]\(\frac{20}{50} = 0.4\)[/tex].
- Since 0.4 is less than 0.5, [tex]\(\frac{20}{50}\)[/tex] is closer to 0.

5. [tex]\(\frac{55}{90}\)[/tex]:
- Divide 55 by 90.
- [tex]\(\frac{55}{90} \approx 0.611\)[/tex].
- Since 0.611 is greater than 0.5, [tex]\(\frac{55}{90}\)[/tex] is closer to 1.

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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