Fraction Skills Challenge Quiz

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Questions and Answers

What is the result of adding 3/5 and 1/3 with uncommon denominators?

The result of adding 3/5 and 1/3 with uncommon denominators is 14/15.

What is the result of multiplying 2/3 and 5/7?

The result of multiplying 2/3 and 5/7 is 10/21.

What is the result of dividing 4/9 by 2/3?

The result of dividing 4/9 by 2/3 is 2/3.

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Study Notes

Operations with Fractions

  • To add fractions with uncommon denominators, we need to find the least common multiple (LCM) of the denominators and convert both fractions to have that LCM as the denominator.
  • The result of adding 3/5 and 1/3 depends on finding the LCM of 5 and 3, which is 15, and then converting both fractions to have a denominator of 15.

Multiplying Fractions

  • To multiply fractions, we multiply the numerators and multiply the denominators.
  • The result of multiplying 2/3 and 5/7 is (2 × 5) / (3 × 7) = 10/21.

Dividing Fractions

  • To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
  • The result of dividing 4/9 by 2/3 is the result of multiplying 4/9 and 3/2, which is (4 × 3) / (9 × 2) = 12/18, which simplifies to 2/3.

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