Confidential1 Exploring Fractions Review

Confidential2 Warm up! 1.25 x x x

Confidential3 Greatest Common Factor (GCF) Factor: One of two or more numbers that when multiplied together produces a product GCF: The largest factor shared between two or more numbers

Confidential4 Ways to find GCF 1.Make a list of factors for each of the numbers 2.Use Prime Factorization

Confidential5 List the Factors Step one: Make a list of the factors 35: 1, 5, 7, 35 49: 1, 7, 49 Step Two: Highlight the factors that are shared 35: 1, 5, 7, 35 49: 1, 7, 49 The GCF of 35 and 49 is 7!

Confidential6 Find GCF by using prime factorization Step One: Make a factor tree for each number Ex:

Confidential7 Step Two Circle the prime factors in common 45: 3 x 3 x 530: 2 X 3 X 5

Confidential8 Step 3 Multiply the common prime factors Notice that 45 and 30 share one 3 and one 5 in common. To get our answer we will multiply 3 x 5. Our GCF is 15!

Confidential9 Your Turn 1.Find the GCF of 18 and 30 by using prime factors. 2.Find the GCF of 42 and 56 by making a list.

Confidential10 Equivalent Fractions Equivalent fractions: Fractions that represent the same number Simplest Form: A fraction is in simplest form when the GCF of the numerator and denominator is 1

Confidential11 Finding Equivalent Fractions To find an equivalent fraction multiply or divide the numerator and denominator by the same number Ex:

Confidential12 Finding a Fraction’s Simplest Form A fraction is in simplest form when the GCF of the numerator and denominator is 1. Ex: Can you give an example of a fraction in simplest form?

Confidential13 Your Turn 1.Replace with a number so the fractions are equivalent. 2.Write 18/24 in simplest form.

Confidential14 Mixed Number and Improper Fractions Mixed Numbers: Numbers that represent the sum of a whole number and a fraction (Ex: 2 ½) Can you give an example of a mixed number? Improper fractions: Fractions that are equal to or greater than 1 (Ex: ) Can you think of any other improper fractions?

Confidential15 Converting an improper fraction to a mixed number Step One: Divide the numerator by the denominator Step Two: Place the whole number on the outside of the fraction. The remainder becomes the new numerator. Step Three: Simplify the fraction if necessary

Confidential16 Converting a mixed number to an improper fraction Multiply the whole number by the denominator and add the product to the old numerator.

Confidential17 Your Turn Write 17 as a mixed number. 5

Confidential18 Least Common Multiple (LCM) Multiple: The product of a number and any whole number Least Common Multiple (LCM): The smallest number, other than zero, that is a multiple of two or more whole numbers

Confidential19 Ways to Find LCM 1.Make a list of multiples 2.Use Prime Factorization

Confidential20 List the Multiples Step One: Make a List of multiples for each number 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 5: 5, 10, 15, 25, 30, 35, 40, 45, 50 Step Two: Highlight the multiples that are shared 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 5: 5, 10, 15, 25, 30, 35, 40, 45, 50 The Least Common Multiple of 3 and 5 is 15.

Confidential21 Find LCM by Using Prime Factors Step One: Find the Prime Factorization 40: 2 x 2 x 2 x 560: 2 x 2 x 3 x 5 Notice that 40 and 60 have two 2’s and one 5 in common

Confidential22 Find LCM by Using Prime Factors Step Two: Find the product from each shared factor and any remaining factors 40: 2 x 2 x 2 x 5 60: 2 x 2 x 3 x 5 LCM = 2 x 2 x 2 x 3 x 5 The LCM of 40 and 60 is 120!

Confidential23 Your Turn 1.Find the LCM of 9 and 12 by making a list. 2.Find the LCM of 15 and 25 by using prime factors.

Confidential24 Comparing fractions Step One: Find the least common denominator (the LCM of the denominators) LCD = 6 Step Two: Write equivalent fractions using the LCD as the new denominator Step Three: Compare the numerators

Confidential25 Your Turn Insert the symbol, or = to make 5/8 _ 9/16 true.

Confidential26 Converting Decimals to Fractions Step One: Identify the place value of the last digit in the decimal is in the hundredths place Step Two: Write the decimal as a fraction using the place value as the denominator Step Three: Simplify

Confidential27 Convert Fractions to Decimals Just One Step: Divide the numerator by the denominator!

Confidential28 Your Turn 1.Write 0.6 as a fraction in simplest form. 2.Write 1/8 as a decimal.

Confidential29 Break!

Confidential30 Finding GCF 1.What does GCF stand for? 2.Name two ways to find GCF. 3.Use Prime Factorization to find the GCF: a)90, 45 b)68, 36 4.List the factors to find GCF a)25, 40 b)39, 26 Assessment

Confidential31 Fractions 1.Find Equivalent fractions by multiplying or dividing: a) b) c) 2.Write the following fractions in simplest form: a) b) c)

Confidential32 Improper fractions and Mixed Numbers 1.Which will be greater, an improper fraction or a proper fraction? Why? 2.Rewrite these improper fractions as mixed numbers: a) b) c) 3.Rewrite these mixed numbers as improper fractions: a) b) c)

Confidential33 Understanding LCM 1.What does LCM stand for? 2.Name two ways to find LCM 3.List the multiples to find LCM: a)10, 30 b)7, 9 c)8, 12 4.Use Prime Factorization to find LCM: a)30, 50 b)20, 16

Confidential34 Working with Fractions 1.When comparing fractions, if the fractions have different denominators, what should your first step be? 2.Billy, James, and Jessica shared a pizza. Billy ate 1/3 of the pizza. Jessica had 2/8 of the pizza and James ate 5/12. Who ate the most? The least?

Confidential35 Decimals to Fractions 1. Write these decimals as fractions. Simplify your answers: a)0.5 b)0.125 c)0.08 d)0.34

Confidential36 Fractions to Decimals 1.What is the one and only step to converting a fraction to a decimal? 2.Rewrite these fractions as decimals: a) b) c)

Confidential37 GREAT JOB!