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How Do You Multiply Fractions?

Find the product of these fractions:
3/4, 1/2, 1/3

Summary

  1. 'Product' means multiplication
  2. To multiply these fractions together:
  3. Multiply the numerators together, 3 • 1 • 1 = 3
  4. Then multiply the denominators together, 4 • 2 • 3 = 24
  5. Our new fraction is 3 over 24
  6. Now we split the numerator and denominator into their factors, 1•3 for the numerator, and 8•3 for the denominator
  7. Cancel out the common factor of 3
  8. The result is 1 over 8 which is our answer!

Notes

    1. 3, 1, and 1 are numerators
    1. 4, 2, and 2 are denominators
    1. 3 has factors of 3 and 1
    1. 24 has factors of 8 and 3
    1. Since 24 and 3 have the common factor of 3, we can cancel it out to simplify the division
    1. After the cancelation we get 1 over 8
    2. Since we can't simplify the fraction further, this is our answer!