Simplify :-
(i)`(10)/(4)`
(ii)`(200)/(50)`
(iii)`(27)/(24)`
(iv)`(55)/(22)`
(v)`(64)/(16)`
(vi)`(8)/(6)`

Answer

To simplify the given fractions, we will identify and remove the common factors from the numerator and denominator for each fraction. Let's go through each one step by step.

### Step-by-Step Solution

**(i)** Simplify \( \frac{10}{4} \)

1. Identify the common factor: The greatest common factor (GCF) of 10 and 4 is 2.
2. Divide both the numerator and the denominator by 2:
\[ \frac{10 \div 2}{4 \div 2} = \frac{5}{2} \]

**(ii)** Simplify \( \frac{200}{50} \)

1. Identify the common factor: The GCF of 200 and 50 is 50.
2. Divide both the numerator and the denominator by 50:
\[ \frac{200 \div 50}{50 \div 50} = \frac{4}{1} = 4 \]

**(iii)** Simplify \( \frac{27}{24} \)

1. Identify the common factor: The GCF of 27 and 24 is 3.
2. Divide both the numerator and the denominator by 3:
\[ \frac{27 \div 3}{24 \div 3} = \frac{9}{8} \]

**(iv)** Simplify \( \frac{55}{22} \)

1. Identify the common factor: The GCF of 55 and 22 is 11.
2. Divide both the numerator and the denominator by 11:
\[ \frac{55 \div 11}{22 \div 11} = \frac{5}{2} \]

**(v)** Simplify \( \frac{64}{16} \)

1. Identify the common factor: The GCF of 64 and 16 is 16.
2. Divide both the numerator and the denominator by 16:
\[ \frac{64 \div 16}{16 \div 16} = \frac{4}{1} = 4 \]

**(vi)** Simplify \( \frac{8}{6} \)

1. Identify the common factor: The GCF of 8 and 6 is 2.
2. Divide both the numerator and the denominator by 2:
\[ \frac{8 \div 2}{6 \div 2} = \frac{4}{3} \]

### Final Answers
1. \( \frac{10}{4} = \frac{5}{2} \)
2. \( \frac{200}{50} = 4 \)
3. \( \frac{27}{24} = \frac{9}{8} \)
4. \( \frac{55}{22} = \frac{5}{2} \)
5. \( \frac{64}{16} = 4 \)
6. \( \frac{8}{6} = \frac{4}{3} \)