What Is Equivalent To 4 5 – Course 1 4-5 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
Course 1 4-5 Equivalent Fractions Today’s Problem John has 3 coins, 2 of which are identical. Ellen has 1 coin less than John and Anna has 2 coins more than John. Each girl has only 1 type of coin. Who has coins that may be worth as much as a half dollar? Elena and Anna
What Is Equivalent To 4 5
Course 1 4-5 Equivalent Fractions Fractions that represent the same value are equivalent fractions. Hence , , and are equivalently different. 1 2 __ 2 4 __ 4 8 __ 12 24 48 = =
Answered: 1 +=? Which Equation Shows How To Use…
Course 1 4-5 Equivalent Fractions Additional Example 1: Finding an Equivalent Fraction. Find two equivalent fractions for . 10 ___ 12 10 12 ___ 15 18 ___ 5 6 __ = = 10 12 ___ 15 18 ___ 5 6 __ So , , and are all equivalent fractions.
Course 1 4-5 Equivalent Fractions Try it out: Find two equivalent fractions for Example 1. 4 __ 6 4 6 __ 8 12 ___ 2 3 __ = = 4 6 __ 8 12 ___ 2 3 __ So , , and are all equivalent fractions.
Course 1 4-5 Equivalent Fractions Additional Example 2a: Multiplication and Division to Find an Equivalent Fraction Find the missing number that makes the fraction equivalent. 3 5 __ A. ___ In the denominator, multiplying 5 by 4 gives 20. = 20 3 5 ______ • 4 12 ____ Multiply the numerator 3 by the same number, 4. = • 4 20 3 5 __ __ 12 20 ___ So this is equal to 3 5 __ 12 20 ___ =
Course 1 4-5 Equivalent Fractions Additional Example 2b: Multiplication and Division to Find an Equivalent Fraction Find the missing number that makes the fraction equivalent. 4 5 __ 80 B. ___ = In the numerator, 4 multiplied by 20 gives 80. 4 5 ______ • 20 80 ____ Multiply the denominator by the same number, 20. = • 20 100 4 5 __ __ 80 100 ___ so this is equal to 4 5 __ 80 100 ___ =
Equivalent Fractions On A Number Line Worksheets
Course 1 4-5 Equivalent Fractions Try it: Example 2a Find the missing number that makes the equivalent fraction. 3 9 __ A. ___ In the denominator, multiplying 9 by 3 gives 27. = 27 3 9 ______ • 3 9 ____ Multiply the numerator 3 by the same number 3, 3. = • 3 27 3 9 __ 9 27 ___ So this is equal to 3 9 __ 9 27 ___ =
Course 1 4-5 Equivalent Fractions Try it: Example 2b Find the missing number that makes the equivalent fraction. 2 4 __ ___ 40 B. Multiplying 2 in the numerator by 20 gives 40.
Course 1 4-5 Equivalent Fractions Every fraction has an equivalent fraction which is called the simplest form of the fraction. A fraction is in its simplest form when the GCD of the numerator and denominator is 1. Example 3 shows two ways to write a fraction in its simplest form.
Course 1 4-5 Equivalent Fractions Additional Example 3a: Writing Fractions in Their Simplest Form Write the fractions in their simplest form. 20 ___ a. 48 20 48 ___ The GCD of 20 and 48 is 4, so it is not in simplest form. Method 1: Use GCF. 20 48 _______ ÷ 4 5 12 __ = Divide 20 and 48 by their GCD, 4. ÷ 4
Grade 6 Module 4 Lesson 13 By Great Minds
Course 1 4-5 Equivalent Fractions Additional Example 3a: Writing Fractions in Their Simplest Form Write the fractions in their simplest form. Method 2: Use a ladder diagram. 2 Use a 20/48 ladder. Divide 20 and 48 by any common factor (except 1) until you cannot divide again. 2 10/24 5/12 20 48 ___ 5 12 ___ So written in simplest form. Helpful Hints Method 2 is useful when you know the numerator and denominator have common factors, but you’re not sure what the GCD is.
Course 1 4-5 Equivalent Fractions Additional Example 3b: Writing the Fraction in Simplest Form Write the fraction in its simplest form. 7 10 ___ b. 7 10 ___ The GCD of 7 and 10 is 1 so it’s already in simplest form.
Course 1 4-5 Equivalent Fractions Try it: Example 3a Write the fraction in its simplest form. 12 ___ a. 16 12 16 ___ The GCD of 12 and 16 is 4, so it is not in simplest form. Method 1: Use GCF. 12 16 _______ ÷ 4 3 4 __ Divide 12 and 16 by their GCD, 4. = ÷ 4
Course 1 4-5 Equivalent Fractions Try it: Example 3a Write the fraction in its simplest form. Method 2: Use a ladder diagram. 2 Use a 12/16 ladder. Divide 20 and 48 by any common factor (except 1) until you can divide 2 6/8 3/4 12 16 ___ 3 4 written in simplest form as
Grade 4 Equivalent Fractions B
Course 1 4-5 Equivalent Fractions Try It: Example 3b Write the fraction in its simplest form. 3 10 ___ b. 3 10 ___ The GCD of 3 and 10 is 1, so it’s already in simplest form.
Course 1 4-5 Fraction Equivalents Enter Lesson Title Here Lesson Quiz Write two fraction equivalents for each of the given fractions. Find the missing number that makes the fractions equivalent. Write each fraction in simplest form. Possible answers 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 ___
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