Fraction Skills Challenge Quiz

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3 Questions

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.

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.

Test your skills with fractions in this quiz! Practice adding and subtracting fractions with uncommon denominators, and then challenge yourself with questions on multiplying and dividing fractions. Perfect for sharpening your fraction-solving abilities!

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