This page demonstrates how to create equivalent fractions using the LCM. The process involves multiplying both numerator and denominator by appropriate factors to achieve the common denominator.

Example: Converting fractions to equivalent forms with denominator 20:

• 1/5 × 4/4 = 4/20
• 2/4 × 5/5 = 10/20

Vocabulary: Equivalent fractions are fractions that represent the same value but have different numerators and denominators.

Highlight: When converting to equivalent fractions, multiply both the numerator and denominator by the same number to maintain the fraction's value.

This page covers the specific case of working with negative fractions and subtracting fractions. The process involves understanding how signs affect the operations and final results.

Definition: The additive inverse of a fraction is the same fraction with the opposite sign.

Example: When subtracting fractions with denominator 12:

• Converting subtraction to addition of the opposite
• Determining the sign of the result based on the larger absolute value

Highlight: When working with negative fractions, pay special attention to signs and consider converting subtraction to addition of the opposite number.

This page introduces the fundamental concept of working with fractions that have different denominators. The process begins with finding the least common multiple (LCM) of the denominators to create equivalent fractions.

Definition: Least Common Multiple (LCM) is the smallest positive number that is divisible by two or more numbers.

Example: For denominators 5 and 4:

• Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45,...
• Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...
• LCM = 20

Highlight: To add or subtract fractions with unlike denominators, always start by finding the LCM of the denominators.