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How Do You Subtract a Whole Number from a Fraction?
Find this difference: 3/2 - 9
Summary
- The whole number 9 can be rewritten as the fraction 9 over 1
- LCD stands for least common denominator
- The LCD for 1 and 2 is just the smallest common multiple of 1 and 2
- 9 over 1 needs to be multiplied by a fancy form of 1 to give it a denominator of 2
- Now we can just subtract the numerators: 3 minus 18 is -15

Notes
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- Any whole number can be represented as a fraction
- Just put the whole number over 1
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- Anything divided by 1 is itself, so 9 divided by 1 is still 9
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- LCD stands for least common denominator
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- The least common denominator is the smallest multiple of 2 and 1
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- 2 is the least common denominator of our two fractions
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- Anything divided by itself is 1
- So if we multiply by 2/2, then the fraction will have a denominator of 2 but its value won't change
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- 2 over 2 times 9 over 1 doesn't change the value of the number, but gives the fraction a denominator of 2
- Anything divided by itself is 1, so multiplying by 2 over 2 is like multiplying by 1
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- Since our fractions have the same denominator, we can just subtract the numerators
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- Subtract the numerators, 3 minus 18 is equal to -15
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- We've already subtracted the numerators, 3 minus 18 is equal to -15
- The denominator remains 2