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Thakanya ya dikhamone toraketene ka altenominslina Hwela pele Thakanya ya ditoraketsene ka dirwa mothalcopalong wa dinamoro. Magareng ga 0 le 1, go na le dikarolo tse teswai tße di lekanago. Ka gona, karolo e nngwe le e nngwe le e nngwe ke :

Mathematics

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8 steps

Part 1

1.12 Matching fractions with visuals and sums

For each visual representation, we will write the sum of unit fractions in the "Motomophaphotling" column and the total fraction in the "Motomogae" column.

  • a) The image shows 3 shaded parts out of 4 equal parts.

    • Motomophaphotling: 14+14+14\frac{1}{4} + \frac{1}{4} + \frac{1}{4}
    • Motomogae: 34\boxed{\frac{3}{4}}
  • b) The image shows 3 shaded parts out of 4 equal parts.

    • Motomophaphotling: 14+14+14\frac{1}{4} + \frac{1}{4} + \frac{1}{4}
    • Motomogae: 34\boxed{\frac{3}{4}}
  • c) The image shows 3 shaded parts out of 4 equal parts.

    • Motomophaphotling: 14+14+14\frac{1}{4} + \frac{1}{4} + \frac{1}{4}
    • Motomogae: 34\boxed{\frac{3}{4}}
  • d) The image shows 3 shaded parts out of 6 equal parts.

    • Motomophaphotling: 16+16+16\frac{1}{6} + \frac{1}{6} + \frac{1}{6}
    • Motomogae: 36\boxed{\frac{3}{6}}
  • e) The image shows 3 shaded parts out of 4 equal parts.

    • Motomophaphotling: 14+14+14\frac{1}{4} + \frac{1}{4} + \frac{1}{4}
    • Motomogae: 34\boxed{\frac{3}{4}}

Part 2· 8 steps

Adding fractions using number lines

For each number line, we will identify the fractions represented by the jumps and then add them.

  • a) The number line is divided into 4 equal parts.
  1. Identify the fractions.

    The first jump is 24\frac{2}{4}, and the second jump is 14\frac{1}{4}.

  2. 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.
  3. Identify the fractions.

    The first jump is 13\frac{1}{3}, and the second jump is 13\frac{1}{3}.

  4. 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.
  5. Identify the fractions.

    The first jump is 25\frac{2}{5}, and the second jump is 25\frac{2}{5}.

  6. 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.
  7. Identify the fractions.

    The first jump is 26\frac{2}{6}, and the second jump is 36\frac{3}{6}.

  8. Add the fractions.

    $$
    \frac{2}{6} + \frac{3}{6} = \frac{2+3}{6} = \boxed{\frac{5}{6}}
    $$
    
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