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 fractions and sums:
Change these fractions into decimal fractions.
a) Step 1: Divide the numerator by the denominator. The decimal fraction is .
b) Step 1: Divide the numerator by the denominator. The decimal fraction is .
c) Step 1: Divide the numerator by the denominator. The decimal fraction is .
d) Step 1: Divide the numerator by the denominator. The decimal fraction is .
e) Step 1: Divide the numerator by the denominator. The decimal fraction is .
f) Step 1: Divide the numerator by the denominator. The decimal fraction is .
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: Subtraction:
b) Step 1: Count the green and red squares. There are 4 green squares and 3 red squares out of 10 total. Step 2: Write the addition and subtraction sums. Addition: \frac{4{10} + \frac{3}{10} = \frac{7}{10}} Subtraction: \frac{7{10} - \frac{3}{10} = \frac{4}{10}}
c) Step 1: Count the green and red squares. There are 5 green squares and 2 red squares out of 10 total. Step 2: Write the addition and subtraction sums. Addition: \frac{5{10} + \frac{2}{10} = \frac{7}{10}} Subtraction: \frac{7{10} - \frac{2}{10} = \frac{5}{10}}
d) Step 1: Count the green and red squares. There are 30 green squares and 60 red squares out of 100 total. Step 2: Write the addition and subtraction sums. Addition: \frac{30{100} + \frac{60}{100} = \frac{90}{100}} Subtraction: \frac{90{100} - \frac{60}{100} = \frac{30}{100}}
e) Step 1: Count the green and red squares. There are 50 green squares and 40 red squares out of 100 total. Step 2: Write the addition and subtraction sums. Addition: \frac{50{100} + \frac{40}{100} = \frac{90}{100}} Subtraction: \frac{90{100} - \frac{40}{100} = \frac{50}{100}}
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Change these fractions into decimal fractions. a) Step 1: Divide the numerator by the denominator.
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.