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

Insert Lesson Title Here Course 1 Equivalent Fractions Insert Lesson Title Here By the end of the lesson, we will be able to: explain what equivalent fractions are understand that each fraction has one equivalent fraction called the simplest form write equivalent fractions find the simplest form of a fraction

Equivalent Fractions = = Course 1 Equivalent Fractions Fractions that are written differently but represent the same value are equivalent fractions. So , , and are equivalent fractions. 1 2 __ 2 4 __ 4 8 __ 12 24 48 = =

Equivalent Fractions = = Course 1 Equivalent Fractions To get equivalent fractions we must MULTIPLY or DIVIDE the numerator and denominator by the SAME NUMBER If you multiply, you will get a fraction with bigger numbers If you divide, you will get a fraction with smaller numbers V.IMP: Multiply/Divide TOP & BOTTOM to keep the fractions EQUIVALENT! 12 24 48 = =

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

Multiplying and Dividing to Find Equivalent Fractions Course 1 Equivalent Fractions Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 3 5 __ ___ In the denominator, 5 is multiplied by 4 to get 20. = 20 3 5 ______ x 4 12 ____ Multiply the numerator, 3, by the same number, 4. = x 4 20 3 5 __ 12 20 ___ So is equivalent to . 3 5 __ 12 20 ___ =

Course 1 Equivalent Fractions Additional Example 2B: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 4 5 __ ___ 80 = In the numerator, 4 is multiplied by 20 to get 80. x 20 4 5 ______ 80 ____ Multiply the denominator by the same number, 20. = x 20 100 4 5 __ 80 100 ___ So is equivalent to . 4 5 __ 80 100 ___ =

Course 1 Equivalent Fractions Find the missing number that makes the fraction equivalent. 3 9 __ ___ In the denominator, 9 is multiplied by 3 to get 27. = 27 3 9 ______ x 3 9 ____ Multiply the numerator, 3, by the same number, 3. = x 3 27 3 9 __ 9 27 ___ So is equivalent to . 3 9 __ 9 27 ___ =

Course 1 Equivalent Fractions Find the missing number that makes the fraction equivalent. 2 4 __ ___ 40 In the numerator, 2 is multiplied by 20 to get 40. = x 20 2 4 ______ 40 ____ Multiply the denominator by the same number, 20. = x 20 80 2 4 __ 40 80 ___ So is equivalent to . 2 4 __ 40 80 ___ =

Course 1 Equivalent Fractions Every fraction has one equivalent fraction that is called the simplest form of the fraction. The simplest form of a fraction has the smallest possible numbers. To find the simplest form we must DIVIDE the numerator and denominator by the SAME number until we cannot divide anymore!

Writing Fractions in Simplest Form Course 1 Equivalent Fractions Writing Fractions in Simplest Form Write each fraction in simplest form. 20 ___ 48 20 48 _______ ÷ 4 5 12 __ = Divide 20 and 48 by their HCF, 4. ÷ 4

Writing Fractions in Simplest Form Course 1 Equivalent Fractions Writing Fractions in Simplest Form Write the fraction in simplest form. 7 10 ___ 7 10 ___ is already in simplest form!

Insert Lesson Title Here Course 1 Equivalent Fractions Insert Lesson Title Here Mini Class Task Find two equivalent fractions for each given fraction. 1. 2. Find the missing number that makes the fractions equivalent. 3. 4. Write each fraction in simplest form. 5. 6. 4 10 ___ 8 20 ___ 2 5 , 7 14 ___ 1 2 ___ 14 28 , 2 7 __ 4 15 __ 20 ___ ___ = 6 = 75 21 4 8 __ 1 2 __ 7 49 ___ 1 7 ___

Self-Assessment

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