Fractions to DecimalsWorksheetversion

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Slide1:

REVIEW FRACTIONS & DECIMALS

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FRACTIONS w ritten 3 ways Proper fractions Improper fractions Mixed Numbers review 1 2 3

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Proper fractions Improper fractions & Mixed numbers 1 2 3 4 4 4 4 4 5 6 7 8

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Simplifying a Fraction is finding a special Equivalent Fraction using Division… 9 ÷ 2 = 1 2 2 ÷ 3 = 2 3 3 ÷ 3 = 1 3 5 Select the biggest number that you can divide into the Numerator AND the Denominator .

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PAUSE Do the problems on page 1 of your handout.

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Rewrite an Improper Fraction as Whole N umber or Mixed Number : 2 choices : Divide or Decompose = 14 ÷ 3 14 = 3 + 3 + 3 + 3 + 2 3 3 3 3 3 3 = 4 2 3 = 4 2 3 Divide Decompose = 9 ÷ 6 = 1 3 6 Divide Decompose 9 = 6 + 3 6 6 6 = 1 3 6 or or = 1 1 3 = 1 1 3 Simplify if the instructions require it. simplify Simplify if the instructions require it.

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PAUSE Do the problems on page 2 of your handout.

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Change a Mixed Number into an Improper F raction : 4 4 3 = Then 12 4 1= If Finally, add the proper fraction: First, change the whole number : 12 + 2 = 14 4 4 4 10 10 1 = If First, change the whole number : 5 = Then 5 0 10 50 + 6 = 56 10 10 10 Finally, add the proper fraction: “3 and two-fourths” “5 and six-tenths” “14 fourths” “56 tenths”

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PAUSE Do the problems on page 3 of your handout.

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Change a Mixed Number into an Improper F raction : Shortcut: x + x + = 4 x 3 + 2 4 = 14 4 = 10 x 5 + 6 10 = 56 10 Example #1 Example #2

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Multiplying a Whole Number times a Proper Fraction (a lso called Finding a Fraction Of a Whole Number ) Every whole number sits on top of an invisible “1”. 3 x 2 1 x 4 = 6 4 Change the improper fraction 6 = 4 + 2 4 4 4 = 1 …into a mixed number, Every whole number sits on top of an invisible “1”. 2 x 3 1 x 15 = 6 15 Simplify the proper fraction by a nd simplify 2/4 to 1/2. = 1 = 6 ÷ 3 15 3 1 2 = 2 5 dividing by “1,” written as 3/3. Final answer Final answer

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PAUSE Do the problems on page 4 of your handout.

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Adding or Subtracting “Like” Fractions (Fractions that have the same Denominator ) + 1 = 3 4 4 Add the Numerators. Do NOT add the Denominators! + 3 = 5 = 4 4 Add the Numerators. Do NOT add the Denominators! Simplify: improper fraction to mixed number. 1 Example #1 Example #2 Example #3 3 1 = 2 = 1 6 6 6 3 Subtract the Numerators. Do NOT subtract the Denominators! Simplify the proper fraction.

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PAUSE Do the problems on pages 5 and 6 of your handout.

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Adding or Subtracting Fractions when t he Denominators are a mix of 10 and 100 6 7 = 10 100 You must have the same denominator t o add or subtract fractions! Change 6/10 to an equivalent fraction that has a denominator of 100 to match 7/100. 6 x 10 = 60 10 10 100 Use the equivalent fraction 60/100 instead of 6/10. 60 7 = 53 100 100 100 Now you are ready to subtract!

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PAUSE Do the problems on p ages 7 and 8 of your handout.

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Shortcut: Adding or Subtracting Fractions when t he Denominators are a mix of 10 and 100 6 7 = 10 100 6 0 10 0 “ Powers of 10 ” allow us to attach a “0” to the Numerator and attach a “0” to the Denominator. It’s the same as multiplying 6/10 by 10/10 to get 60/100!

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Going from Fraction Land to Decimal Land The Fraction must have the right ticket ! Fraction Land Equivalent Fraction Land Decimal Land 7 10 1 = 25 4 100 25 100 0.25 0.7 7 10 1 4 The Fraction must have 10 or 100 in the Denominator! 1 4

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Welcome to Decimal Land

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Proper Fractions Improper Fractions & Mixed Numbers 1 2 3 4 4 4 4 4 5 6 7 8 0.25 0.5 0.75 1 .25 1.5 1.75 Decimals 1.0 2.0

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Proper fractions and Decimals They are less than 1.

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Proper fractions & Decimals 0 0 0 They are less than 1.

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= 0.1 = 0.01 1 10 1 100 =1 One Tenth (0.1) is 10 times (10x) bigger than One Hundredth (0.01). One (1) is 10 times (x10) bigger than One Tenth (0.1), and One (1) is 100 times (x100) bigger than One Hundredth (0.01).

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I n Whole Number Land, Hundreds are bigger than Tens. In Decimal Land, Hundred th s are smaller than Ten th s. 500 > 50 0.5 > 0.05

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Tens Ones Ten ths Hundred ths X 10 X 10 3 0 3 5 5 0 and Compare on the PLACE VALUE CHART Remember : Each Place Value is a Power of 10. As you move to t he left, each Place Value gets 10x bigger. Bigger and bigger values X 10

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Hundreds Tens Ones Ten ths Hundred ths 0 1 1 0 0 5 2 5 $1.01 $1.05 $1.10 $1.25 1 1 1 1 MONEY – decimals!

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If the Denominator is a Power of 10: 10 or 100 EASY! FRACTION DECIMAL 0.1 Denominator already is a power of 10 EASY! J ust say it and write it……… 1 .3 15 100 0 .15 “one tenth” “one and three tenths” “fifteen hundredths”

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PAUSE Do the problems on page 9 of your handout.

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If the Denominator is NOT a Power of 10: 10 or 100 FRACTION DECIMAL 0.4 0 .75 2 5 1 .5 3 4 FIRST make an Equivalent Fraction that has a 10 or 100 in the denominator ! x 2 = 4 2 10 THEN say it and write it! “four tenths” x 25 = 75 25 100 1 2 x 5 = 5 5 10 “seventy-five hundredths” “one and five tenths”

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Easy Equivalencies to Know: 1 = 25 = 0.25 4 100 2 = 1 = 5 = 0.5 = 50 = 0.50 4 2 10 100 3 = 75 = 0.75 4 100 25 cents i s 1/4 of a dollar 50 cents i s 2 /4 or 1/2 of a dollar 7 5 cents i s 3 /4 of a dollar

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More Equivalencies to Know: 1 = 0.2 or 0.20 5 2 = 0.4 or 0.40 5 3 = 0.6 or 0.60 5 4 = 0.8 or 0.80 5 20 cents i s 1/5 of a dollar 4 0 cents i s 2 /5 of a dollar 60 cents i s 3/5 of a dollar 8 0 cents i s 4 /5 of a dollar

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PAUSE Do the problems on page 10 of your handout.

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The End The End

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