This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here are the solutions for adding the fractions:
a)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{1+2}{4} = \frac{3{4}}
b)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{2+1}{5} = \frac{3{5}}
c)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{3+2}{8} = \frac{5{8}}
d)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the numerator.
Step 3: Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 3.
\frac{3 \div 3}{6 \div 3} = \frac{1{2}}
e)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{3+2}{7} = \frac{5{7}}
f)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the numerator.
Step 3: Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 2.
\frac{6 \div 2}{8 \div 2} = \frac{3{4}}
g)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{4+3}{8} = \frac{7{8}}
h) Step 1: Add the numerators since the denominators are the same. Step 2: Simplify the fraction. Step 3: Reduce the fraction to its simplest form.
i)
Step 1: Add the numerators since the denominators are the same.
Step 2: Simplify the fraction.
\frac{1+4}{6} = \frac{5{6}}
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a) Step 1: Add the numerators since the denominators are the same. (1)/(4) + (2)/(4) = (1+2)/(4) Step 2: Simplify the fraction.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.