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How Do You Simplify a Fraction Over a Fraction?

Simplify the complex fraction (1/3)/(3/5)

Summary

  1. '1/3' is the numerator and '3/5' is the denominator of the complex fraction
  2. To rewrite as a division, simply put a '÷' between the numerator and denominator
  3. To rewrite as a multiplication, change the '÷' to a ''
  4. '5/3' is the reciprocal of '3/5'
  5. Multiplying the numerators '1' and '5' gives us '5'
  6. Multiplying the denominators '3' and '3' gives us '9'

Notes

    1. Rewriting the complex fraction horizontally with a '÷' makes it a little easier to manage
    1. Rewriting the complex fraction horizontally with a '÷' makes it a little easier to manage
    2. '1/3' is the numerator and '3/5' is the denominator of the complex fraction
    1. Multiplying fractions is easier than dividing them
    1. Multiplying fractions is easier than dividing them
    1. Rewrite the numerator '1/3'
    2. Change the '÷' to ''
    3. The next term is '3/5', and it's reciprocal is '5/3'
    1. Finding a fraction's reciprocal is easy, just flip the top and bottom!
    1. Multiplying the numerators '1' and '5' gives us '5'
    2. Multiplying the denominators '3' and '3' gives us '9'
    1. '9' is not evenly divisible by '5' so '5/9' is in its simplest form