Fractions

Fractions Vocabulary Review fraction: improper fraction: mixed fraction:

Prime Factorization breaking down a number into a product of its prime factors Example:400

Greatest Common Factor find the prime factorization multiply the prime common factors Example:16080

Least Common Multiple find the prime factorization find the GCF multiply the GCF by the leftover factors Example:96116

Least Common Denominator uses the least common multiple of the denominators Example: What is the LCD for:

Ordering Fractions can do this two ways: order by getting a common denominator, then compare numerators order by converting to decimals BE SURE: to read the question carefully, so you’re ordering from least to greatest, or greatest to least!!!

Examples Order the fractions from greatest to least:

Examples If a > b, and a and b are positive integers, then which expression is greatest:

Adding/Subtracting Fractions must have common denominators adding mixed numbers: –add fractions first –add whole numbers –reduce the fraction, if needed subtracting mixed numbers: –subtract fractions first, borrowing if needed –subtract whole numbers –reduce the fraction, if needed

Examples Find the sum or difference:

Examples Find the sum or difference:

Multiplying/Dividing Fractions multiplying fractions: –multiply numerators –multiply denominators –reduce, if needed dividing fractions: –flip the second fraction –multiply the fractions –reduce, if needed mixed numbers: –change into improper fractions

Examples Find the product or quotient:

Homework Orange Book: p. 31: 1-6 p. 36: 1-8 Purple Book: p : 1-19