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Mathematics
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8 stepsHere 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.
The first jump covers 2 parts, representing .
The second jump covers 1 part, representing .
Add the fractions.
$$ \frac{2}{4} + \frac{1}{4} = \frac{2+1}{4} = \boxed{\frac{3}{4}} $$- b) The number line is divided into 3 equal parts.
The first jump covers 1 part, representing .
The second jump covers 1 part, representing .
Add the fractions.
$$ \frac{1}{3} + \frac{1}{3} = \frac{1+1}{3} = \boxed{\frac{2}{3}} $$- c) The number line is divided into 5 equal parts.
The first jump covers 2 parts, representing .
The second jump covers 2 parts, representing .
Add the fractions.
$$ \frac{2}{5} + \frac{2}{5} = \frac{2+2}{5} = \boxed{\frac{4}{5}} $$- d) The number line is divided into 6 equal parts.
The first jump covers 2 parts, representing .
The second jump covers 3 parts, representing .
Add the fractions.
$$ \frac{2}{6} + \frac{3}{6} = \frac{2+3}{6} = \boxed{\frac{5}{6}} $$
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