Fraction Simplification Quiz

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.

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.