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.