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Questions and Answers
What is the sum of the fractions $\frac{3}{5}$ and $\frac{2}{7}$?
Which of the following is the least common denominator of the fractions $\frac{3}{5}$ and $\frac{2}{7}$?
If $\frac{3}{5}$ is converted to have a denominator of 35, what is the equivalent fraction?
What would be the first step in adding the fractions $\frac{3}{5}$ and $\frac{2}{7}$?
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When adding $\frac{3}{5}$ and $\frac{2}{7}$ after finding the common denominator of 35, what are the new numerators?
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Study Notes
Adding Fractions
- To add fractions, find a common denominator to combine them effectively.
Sum of Fractions
- The sum of the fractions (\frac{3}{5}) and (\frac{2}{7}) can be computed by finding a common denominator and adjusting the numerators accordingly.
Least Common Denominator (LCD)
- The least common denominator of (\frac{3}{5}) and (\frac{2}{7}) is 35. This is the smallest multiple that both denominators (5 and 7) share.
Conversion to Equivalent Fraction
- Converting (\frac{3}{5}) to a denominator of 35 involves multiplying both the numerator and denominator by 7, resulting in the equivalent fraction (\frac{21}{35}).
First Step in Adding Fractions
- The initial step in adding (\frac{3}{5}) and (\frac{2}{7}) includes finding the least common denominator (LCD) to create fractions with a shared base.
New Numerators After Finding Common Denominator
- When adding the fractions with a common denominator of 35, the new numerator for (\frac{3}{5}) is 21; for (\frac{2}{7}), it is 10, resulting in the adjusted fractions (\frac{21}{35}) and (\frac{10}{35}) respectively.
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Description
Test your skills on adding fractions with this quiz. You will solve problems related to finding least common denominators and converting fractions. Challenge yourself to see how well you understand the concepts of fraction addition.
