Insert Lesson Title Here Equivalent Fractions Vocabulary Equivalent

Insert Lesson Title Here Equivalent Fractions Vocabulary • Equivalent Fractions • Simplest Form Course 1

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

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! 1 2 Course 1 = 2 4 = 4 8

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

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

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

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

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

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! Course 1

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

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

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

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Self-Assessment

Equivalent Fractions HOMEWORK for Tomorrow Equivalent Fractions Pg 77 Ex 6 b No. 7, 14, 21, 28, 31 Simplify fractions Pg 79 Ex 6 c No. 5, 10, 15, 20 Course 1