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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Answer
Here are the solutions to your math homework:
1. Fill in the missing fractions:
a) The fractions are increasing by one in the numerator while keeping the denominator constant. \frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4{6}}, \frac{5{6}}, \frac{6{6}}
b) The fractions are decreasing by one in the numerator while keeping the denominator constant. \frac{5}{8}, \frac{4}{8}, \frac{3{8}}, \frac{2{8}}, \frac{1{8}}
2. Complete the following:
a) To find an equivalent fraction, multiply both the numerator and the denominator by the same non-zero number. For example, multiplying by 2: \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2{4}}
b) When the numerator and the denominator of a fraction are the same, the fraction is equal to 1.
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1. Fill in the missing fractions: a) The fractions are increasing by one in the numerator while keeping the denominator constant.
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.