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