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Simplify the following fractions:

\[ \frac{3}{6} = \]

\[ \frac{8}{12} = \]

\[ \frac{27}{30} = \]

\[ \frac{9}{36} = \]

Answer :

Let's simplify the given fractions step-by-step:

1. Simplifying [tex]\( \frac{3}{6} \)[/tex]:
- Find the greatest common divisor (GCD) of 3 and 6, which is 3.
- Divide both the numerator and the denominator by their GCD:
[tex]\( \frac{3 ÷ 3}{6 ÷ 3} = \frac{1}{2} \)[/tex].

2. Simplifying [tex]\( \frac{8}{12} \)[/tex]:
- Find the GCD of 8 and 12, which is 4.
- Divide both the numerator and the denominator by their GCD:
[tex]\( \frac{8 ÷ 4}{12 ÷ 4} = \frac{2}{3} \)[/tex].

3. Simplifying [tex]\( \frac{27}{30} \)[/tex]:
- Find the GCD of 27 and 30, which is 3.
- Divide both the numerator and the denominator by their GCD:
[tex]\( \frac{27 ÷ 3}{30 ÷ 3} = \frac{9}{10} \)[/tex].

4. Simplifying [tex]\( \frac{9}{36} \)[/tex]:
- Find the GCD of 9 and 36, which is 9.
- Divide both the numerator and the denominator by their GCD:
[tex]\( \frac{9 ÷ 9}{36 ÷ 9} = \frac{1}{4} \)[/tex].

So, the simplified fractions are:
- [tex]\( \frac{3}{6} = \frac{1}{2} \)[/tex]
- [tex]\( \frac{8}{12} = \frac{2}{3} \)[/tex]
- [tex]\( \frac{27}{30} = \frac{9}{10} \)[/tex]
- [tex]\( \frac{9}{36} = \frac{1}{4} \)[/tex]

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