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Dividing a mixed number (1 2/3) by a fraction (3/4):

First convert any mixed numbers to fractions:

  • (1 2/3) is same as (1+2/3) is same as (3/3 + 2/3) is same as 5/3

Dividing by a fraction is best done by inverting the divisor and doing a multiplication:

  • 5/3 divided by 3/4 becomes (and is equivalent to) 5/3 times 4/3
  • so you get: 5/3 * 4/3

Multiplying two fractions is done by multiplying the the numerators (part of the slash) together to get a new numerator and the denominators (bottom part) together to get a new denominator.

  • The numerators: 5*4 is 20,
  • The denominators: 3*3 is 9
  • The resulting fraction and answer is 20/9. This is called an improper fraction.

Since the original question included a mixed number (1 2/3), we might want the final result to also be a mixed number.

  • Dividing 20 by 9 gives 2 remainder 2 giving the final result:
  • Final answer is 2 2/9 (two and two ninths)
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