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Change these fractions into decimal fractions.

Mathematics

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Here are the solutions for the fractions and sums:

Change these fractions into decimal fractions.

a)

  1. Divide the numerator by the denominator.

    410=0.4\frac{4}{10} = 0.4

    The decimal fraction is 0.4\boxed{0.4}.

    b)

  2. Divide the numerator by the denominator.

    210=0.2\frac{2}{10} = 0.2

    The decimal fraction is 0.2\boxed{0.2}.

    c)

  3. Divide the numerator by the denominator.

    510=0.5\frac{5}{10} = 0.5

    The decimal fraction is 0.5\boxed{0.5}.

    d)

  4. Divide the numerator by the denominator.

    37100=0.37\frac{37}{100} = 0.37

    The decimal fraction is 0.37\boxed{0.37}.

    e)

  5. Divide the numerator by the denominator.

    19100=0.19\frac{19}{100} = 0.19

    The decimal fraction is 0.19\boxed{0.19}.

    f)

  6. Divide the numerator by the denominator.

    25100=0.25\frac{25}{100} = 0.25

    The decimal fraction is 0.25\boxed{0.25}.

    Write a plus and minus sum for each of the following, using the green and red shaded squares.

    a)
    The image already provides the sums for this part.
    Addition: 210+810=1010\frac{2}{10} + \frac{8}{10} = \frac{10}{10}
    Subtraction: 1010−810=210\frac{10}{10} - \frac{8}{10} = \frac{2}{10}

    b)

  7. Count the green and red squares.

    There are 4 green squares and 3 red squares out of 10 total.

  8. Write the addition and subtraction sums.

    Addition: 410+310=710\boxed{\frac{4}{10} + \frac{3}{10} = \frac{7}{10}}
    Subtraction: 710−310=410\boxed{\frac{7}{10} - \frac{3}{10} = \frac{4}{10}}

    c)

  9. Count the green and red squares.

    There are 5 green squares and 2 red squares out of 10 total.

  10. Write the addition and subtraction sums.

    Addition: 510+210=710\boxed{\frac{5}{10} + \frac{2}{10} = \frac{7}{10}}
    Subtraction: 710−210=510\boxed{\frac{7}{10} - \frac{2}{10} = \frac{5}{10}}

    d)

  11. Count the green and red squares.

    There are 30 green squares and 60 red squares out of 100 total.

  12. Write the addition and subtraction sums.

    Addition: 30100+60100=90100\boxed{\frac{30}{100} + \frac{60}{100} = \frac{90}{100}}
    Subtraction: 90100−60100=30100\boxed{\frac{90}{100} - \frac{60}{100} = \frac{30}{100}}

    e)

  13. Count the green and red squares.

    There are 50 green squares and 40 red squares out of 100 total.

  14. Write the addition and subtraction sums.

    Addition: 50100+40100=90100\boxed{\frac{50}{100} + \frac{40}{100} = \frac{90}{100}}
    Subtraction: 90100−40100=50100\boxed{\frac{90}{100} - \frac{40}{100} = \frac{50}{100}}

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