Definition: Sum refers to addition while difference refers to subtraction in fraction operations.

Example: When adding fractions with common denominators, add only the numerators: 5/8 + 3/8 = 8/8 = 1

Highlight: Converting mixed numbers to improper fractions is crucial before performing addition or subtraction operations.

Vocabulary: Mixed number conversion involves multiplying the whole number by the denominator and adding the numerator.

Definition: Cross canceling is the process of simplifying factors before multiplication.

Example: When multiplying fractions, multiply numerators together and denominators together: 1/3 × 3/1 = 3/3 = 1

Highlight: Always convert mixed numbers to improper fractions before multiplication.

Quote: "To multiply fractions or mixed numbers: 1. Rewrite mixed numbers and whole numbers as improper fractions. 2. Simplify factors if possible by cross canceling."

Definition: The KCF method stands for Keep the first fraction, Change division to multiplication, Flip the second fraction.

Example: When dividing fractions, multiply by the reciprocal of the divisor: 1/2 ÷ 3 = 1/2 × 1/3

Highlight: Converting mixed numbers to improper fractions is essential before applying the KCF method.

Vocabulary: Reciprocal - the fraction obtained by flipping the numerator and denominator.

Definition: A fraction represents a part of a whole piece, consisting of a numerator (top number) and denominator (bottom number).

Example: When simplifying fractions, reduce by finding common factors. For instance, 42/14 simplifies to 3/1.

Vocabulary: Proper fraction - numerator is less than denominator; Improper fraction - numerator is greater than denominator; Mixed number - whole number with a proper fraction.

Highlight: To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number.