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Questions and Answers
What is the simplified form of the improper fraction $ rac{15}{21}$?
What is the result of converting the mixed number $1 rac{4}{21}$ into an improper fraction?
Which of the following represents the mixed number equivalent of the improper fraction $ rac{29}{21}$?
What is the simplest form of $ rac{6}{21}$?
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Which of the following is a correct simplification of the fraction $ rac{16}{26}$?
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Study Notes
Fraction Simplification
- Fractions can be expressed as improper fractions (numerator greater than denominator) or mixed numbers (a whole number and a proper fraction).
- An improper fraction can be converted to a mixed number by dividing the numerator by the denominator. The quotient represents the whole number, the remainder becomes the numerator of the fraction, and the denominator remains the same.
- A mixed number can be converted to an improper fraction by multiplying the whole number by the denominator, adding the numerator, and placing the result over the original denominator.
- Fractions can be simplified by finding the greatest common factor (GCD) of the numerator and denominator and dividing both by the GCD.
- In the provided examples, several fractions are simplified to their lowest terms.
- In particular, the fractions $\frac{3}{21}$, $\frac{6}{21}$, $\frac{15}{21}$, and $\frac{16}{26}$ are all simplified by finding the GCD and dividing both the numerator and denominator by it.
- The improper fraction $\frac{15}{1}$ is equivalent to 5, as any number divided by 1 equals itself.
- The mixed numbers $1\frac{4}{21}$ and $1\frac{8}{21}$ are converted to improper fractions by multiplying the whole number by the denominator, adding the numerator, and maintaining the same denominator.
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Description
Test your knowledge about simplifying fractions, converting between improper fractions and mixed numbers, and finding the greatest common factor (GCD). This quiz includes a variety of examples and questions to assess your understanding of these important mathematical concepts.
