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Calculate the fractions of the total dots for the multi-colored dots section and the purple dots section.

Mathematics

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Step-by-step solution

4 steps

here are the solutions for the problems in the image:

Left Section: Purple Dots

  1. Count the total number of purple dots.

    There are 3 dots in the first rectangle and 3 dots in the second rectangle.
    Total dots = 3+3=63 + 3 = 6.

  2. Answer the questions based on the total dots.

    • Zingaphi izangqa ozibalileyo? (How many circles did you count?)
    6\boxed{6}
    • Nika isi-12\frac{1}{2} sezangqa? (Give 12\frac{1}{2} of the circles?)
    12×6=3\frac{1}{2} \times 6 = \boxed{3}

    Middle Section: Multi-colored Dots

  3. Count the total number of dots.

    There are 4 squares, and each square has 4 dots.
    Total dots = 4×4=164 \times 4 = 16. (This answer is already written in the image).

  4. Calculate the fractions of the total dots.

    • Ubale izangqa ezingaphi? (How many circles did you count?)
    16\boxed{16}
    • Nika i-14\frac{1}{4} yezangqa? (Give 14\frac{1}{4} of the circles?)
    14×16=4\frac{1}{4} \times 16 = \boxed{4}
    • Nika i-24\frac{2}{4} yezangqa? (Give 24\frac{2}{4} of the circles?)
    24×16=12×16=8\frac{2}{4} \times 16 = \frac{1}{2} \times 16 = \boxed{8}
    • Nika i-34\frac{3}{4} yezangqa? (Give 34\frac{3}{4} of the circles?)
    34×16=12\frac{3}{4} \times 16 = \boxed{12}
    • Nika i-44\frac{4}{4} yezangqa? (Give 44\frac{4}{4} of the circles?)
    44×16=1×16=16\frac{4}{4} \times 16 = 1 \times 16 = \boxed{16}
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