4-5 Equivalent Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Warm Up List the factors of each number , 2, 4, 8 1, 2, 5, 10 1, 2, 4, 8, 16 Course Equivalent Fractions 1, 2, 4, 5, 10, 20 1, 2, 3, 5, 6, 10, 15, 30

Problem of the Day John has 3 coins, 2 of which are the same. Ellen has 1 fewer coin than John, and Anna has 2 more coins than John. Each girl has only 1 kind of coin. Who has coins that could equal the value of a half-dollar? Ellen and Anna Course Equivalent Fractions

Learn to write equivalent fractions. Course Equivalent Fractions

Vocabulary equivalent fractions simplest form Insert Lesson Title Here Course Equivalent Fractions

Course Equivalent Fractions Fractions that represent the same value are equivalent fractions. So,, and are equivalent fractions. = = 1 2 __

Course Equivalent Fractions Additional Example 1: Finding Equivalent Fractions Find two equivalent fractions for ___ ___ 5 6 __ ___ ___ ___ 5 6 __ = = So,, and are all equivalent fractions. The same area is shaded when the rectangle is divided into 10 parts, 15 parts, and 5 parts.

Course Equivalent Fractions Check It Out: Example 1 Find two equivalent fractions for. 4 6 __ ___ 4 6 __ 8 12 ___ 2 3 __ = = So,, and are all equivalent fractions. The same area is shaded when the rectangle is divided into 4 parts, 8 parts, and 2 parts.

Course Equivalent Fractions Additional Example 2A: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 3 5 __ 20 ___ = 3 5 ______ In the denominator, 5 is multiplied by 4 to get Multiply the numerator, 3, by the same number, 4. = ____ So is equivalent to. 3 5 __ ___ 3 5 __ ___ =

Course Equivalent Fractions Additional Example 2B: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 4 5 __ 80 ___ = 4 5 ______ In the numerator, 4 is multiplied by 20 to get Multiply the denominator by the same number, 20. = ____ So is equivalent to. 4 5 __ ___ 4 5 __ ___ =

Course Equivalent Fractions Check It Out: Example 2A Find the missing number that makes the fraction equivalent. 3 9 __ 27 ___ = 3 9 ______ In the denominator, 9 is multiplied by 3 to get Multiply the numerator, 3, by the same number, 3. = 9 27 ____ So is equivalent to. 3 9 __ 9 27 ___ 3 9 __ 9 27 ___ =

Course Equivalent Fractions Check It Out: Example 2B Find the missing number that makes the fraction equivalent. 2 4 __ 40 ___ = 2 4 ______ In the numerator, 2 is multiplied by 20 to get Multiply the denominator by the same number, 20. = ____ So is equivalent to. 2 4 __ ___ 2 4 __ ___ =

Course Equivalent Fractions Every fraction has one equivalent fraction that is called the simplest form of the fraction. A fraction is in simplest form when the GCF of the numerator and the denominator is 1. Example 3 shows two methods for writing a fraction in simplest form.

Course Equivalent Fractions Additional Example 3A: Writing Fractions in Simplest Form Write each fraction in simplest form ___ The GCF of 20 and 48 is 4, so is not in simplest form ___ Method 1: Use the GCF _______ ÷ 4 Divide 20 and 48 by their GCF, 4. = 5 12 __

Course Equivalent Fractions Additional Example 3A Continued Method 2: Use prime factorization. Write the prime factors of 20 and 48. Simplify ___ 5 12 ___ So written in simplest form is. Method 2 is useful when you know that the numerator and denominator have common factors, but you are not sure what the GCF is. Helpful Hint ___ = _________________ = 5 12 ___

Course Equivalent Fractions Additional Example 3B: Writing Fractions in Simplest Form Write the fraction in simplest form ___ The GCF of 7 and 10 is 1 so is already in simplest form ___

Course Equivalent Fractions Check It Out: Example 3A Write each fraction in simplest form ___ The GCF of 12 and 16 is 4, so is not in simplest form ___ Method 1: Use the GCF _______ ÷ 4 Divide 12 and 16 by their GCF, 4. = 3 4 __

Course Equivalent Fractions Check It Out: Example 3A Continued Method 2: Use prime factorization. Write the prime factors of 12 and 16. Simplify ___ 3 4 So written in simplest form is ___ = _____________ = 3 4 ___

Course Equivalent Fractions Check It Out: Example 3B Write the fraction in simplest form ___ The GCF of 3 and 10 is 1, so is already in simplest form ___

Lesson Quiz Find two equivalent fractions for each given fraction. Possible Answers: Find the missing number that makes the fractions equivalent Write each fraction in simplest form Insert Lesson Title Here 6 Course Equivalent Fractions 4 10 ___ 7 14 ___ 2 7 __ ___ 21 = 4 15 __ ___ 20 = 4 8 __ 7 49 ___ __ ___ ___, 8 20 ___ 2 5,