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How Do You Subtract a Whole Number from a Fraction?

Find this difference: 3/2 - 9

Summary

  1. The whole number 9 can be rewritten as the fraction 9 over 1
  2. LCD stands for least common denominator
  3. The LCD for 1 and 2 is just the smallest common multiple of 1 and 2
  4. 9 over 1 needs to be multiplied by a fancy form of 1 to give it a denominator of 2
  5. Now we can just subtract the numerators: 3 minus 18 is -15

Notes

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