To complete the sentence and order the mixed numbers, let's fill in the blank first:
• mixed number - a single value combining a whole number and a fractional part of a whole.
Now, let's order the mixed numbers from greatest to least: 1 4/8, 1 3/12, and 1 8/1.
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First, let's convert the fractions to a more comparable form by finding a common basis.
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1 4/8: This can be simplified to 1/2, which is equal to 0.5 when considering the fractional part, so the mixed number is 1 + 0.5 = 1.5.
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1 3/12: This fraction can also be simplified. 3/12 simplifies to 1/4, so the mixed number is 1 + 0.25 = 1.25.
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1 8/1: This is equivalent to 1 + 8 = 9.
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Now we can compare the decimal values of each of the mixed numbers:
- 1 4/8 = 1.5
- 1 3/12 = 1.25
- 1 8/1 = 9
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Finally, ordering these mixed numbers from greatest to least:
- 1 8/1 (9)
- 1 4/8 (1.5)
- 1 3/12 (1.25)
So, the ordered mixed numbers from greatest to least are: 1 8/1, 1 4/8, 1 3/12.
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