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.
Write these fractions in words. a) 5/8 = b) 7/10 = c) 9/12 = 2. Complete the equivalent fractions. a) 2/3 = /6 b) 3/5 = /10 c) 4/7 = /14 3. Compare the fractions using <, > or =. a) 5/8 7/8 b) 3/4 6/8 c) 2/6 2/3

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1. Write these fractions in words. a) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 5, and the denominator is 8 (eighths).
b) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 7, and the denominator is 10 (tenths).
c) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 9, and the denominator is 12 (twelfths).
2. Complete the equivalent fractions.
a) \frac{2}{3} = \frac{_}{6}
Step 1: Determine the factor by which the denominator was multiplied.
Step 2: Multiply the numerator by the same factor.
So, .
b) \frac{3}{5} = \frac{_}{10}
Step 1: Determine the factor by which the denominator was multiplied.
Step 2: Multiply the numerator by the same factor.
So, .
c) \frac{4}{7} = \frac{_}{14}
Step 1: Determine the factor by which the denominator was multiplied.
Step 2: Multiply the numerator by the same factor.
So, .
3. Compare the fractions using or . a) Step 1: Compare the numerators since the denominators are the same. Therefore, .
b) Step 1: Find a common denominator. The least common denominator for 4 and 8 is 8. Step 2: Convert to an equivalent fraction with a denominator of 8. Step 3: Compare the equivalent fractions. Therefore, .
c) Step 1: Find a common denominator. The least common denominator for 6 and 3 is 6. Step 2: Convert to an equivalent fraction with a denominator of 6. Step 3: Compare the equivalent fractions. Therefore, .
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