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 the number line problems shown in the image:
Adding fractions using number lines
a) The number line is divided into 4 equal parts. Step 1: The first jump covers 2 parts, representing . The second jump covers 1 part, representing . Step 2: Add the fractions. \frac{2}{4} + \frac{1}{4} = \frac{2+1}{4} = \frac{3{4}}
b) The number line is divided into 3 equal parts. Step 1: The first jump covers 1 part, representing . The second jump covers 1 part, representing . Step 2: Add the fractions. \frac{1}{3} + \frac{1}{3} = \frac{1+1}{3} = \frac{2{3}}
c) The number line is divided into 5 equal parts. Step 1: The first jump covers 2 parts, representing . The second jump covers 2 parts, representing . Step 2: Add the fractions. \frac{2}{5} + \frac{2}{5} = \frac{2+2}{5} = \frac{4{5}}
d) The number line is divided into 6 equal parts. Step 1: The first jump covers 2 parts, representing . The second jump covers 3 parts, representing . Step 2: Add the fractions. \frac{2}{6} + \frac{3}{6} = \frac{2+3}{6} = \frac{5{6}}
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Adding fractions using number lines a) The number line is divided into 4 equal parts.
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.