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Illustrated FRACTIONS

Illustrated FRACTIONS. Illustrated fractions . Student Addition Authors Jazlyn Gomez Valarity Oxford Shanaynay+Walka Floka.

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Illustrated FRACTIONS

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  1. Illustrated FRACTIONS

  2. Illustrated fractions Student Addition Authors Jazlyn Gomez Valarity Oxford Shanaynay+Walka Floka

  3. Illustrated fractions TABLE OF CONTENTS Reducing Mixed Numbers/Improper fractions Reciprocals Common Denominators Adding (including mixed numbers) Multiplying Dividing Word Problems

  4. Illustrated fractions Reducing • Reducing- Reducing is when you take any type of fraction and make the numbers as small as they can go. Another word for reducing is simplifying. • Example: we can make this reduced to because in words it would say 5 is half of 10; you can also reduce numbers that are not a half. • Example: See we could reduce = another way you could understand it is take 20(numerator)and divide it by a number so it’s the smallest it can go so you would divide the numerator by 20 which is 1 and then divide the denominator by the same number we divided the numerator with which is 60 divided by 20 which equals • Example: To reduce a mixed number you must make the mixed number into an improper fraction then break it down so 4 you would take the denominator (6) and multiply it by the whole number (4) then add the product by the numerator (6•4+2=26) then you would take the product of that problem (26) then put that as the numerator of the improper fraction then take the denominator of the mixed number then you have your improper fraction . When you have your improper fraction you just reduce it normally as you would to any fraction which this would be 4 • Another way to reduce a fraction is you could use the strategy of pining up the fraction’s numerator and denominator and list the factors. Example: 48=1,48,2,24,3,16,4,12,6,8 60=1,60,2,30,3,20,4,15,5,12,6,10 Rule: You must break down the fraction as small as it can go to its most reduced formation.

  5. Illustrated FractionsReducing (practice problems) • To get a mixed number you must find out how many times the numerator goes into the denominator Example: how many times does 5 go into 10? To find out you must divide the denominator by the numerator ( 10÷5=2). Once you find out the product of that problem (denominator divided by the numerator) that is your whole (2) then after you have your whole you must see what is left of the fraction like how much is left of the numerator. If there is nothing left then all you have is the whole number and that is your mixed number 2. • Another example is …… you see how many times the numerator goes into the denominator 60 divided by the numerator 48 which is as an improper fraction then reduce it and it would turn into a mixed number which is 1. • Example: ÷= (try to find out how to find the missing blank from the information above). • Example ÷ = • WARNING: IF YOU DO NOT MASTER REDUCING DON’T BE • AFRAID YOU STILL NEED TRAINING.

  6. ILLUSTRATED FRACTIONS Mixed numbers and improper fractions • Mixed numbers- Regular fractions are part of whole. Mixed numbers are with a whole… A better explanation is, you know what a regular fraction looks like () Well a Mixed number looks like 1 A mixed number is basically a whole number with a fraction (the fraction is what is left over from the numerator that doesn't go into the the whole number). A better way to explain it is you know what a regular fraction looks like Well a mixed number looks like 1. A mixed number is basically a whole number with a fraction (the fraction is what is left over from the numerator that doesn't go into the whole number) Step 1: To find a mixed number you must see how many times the numerator goes into the denominator Example: You think to yourself how many times does the numerator go into the denominator? Well 3 goes into 5 one time so the whole number would be 1. Step 2: See what is left of the denominator to make you knew numerator Example: To find your new numerator you can divide your denominator from your numerator. 5 subtracted by 3 equals 2 …therefore 2 would be your numerator in your mixed number and your same denominator (5) would be your denominator. Therefore the mixed number would be 1

  7. Illustrated fractions mixed numbers and improper fractions • Improper Fractions are not really improper. They are just written with the big one on the top the least on the bottom. • Examples of improper fractions: • How do you turn them back to regular? • Well… you divide the numerator by the denominator and then you will get a mixed number. • Examples:= 7

  8. Illustrated fractions reciprocals • Reciprocals- A mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one. • You take a whole number lets use 8. You take the whole number (8) and you need to out it in fraction form. How do you do it? • Well its quite easy • You put the number 1 over any whole number if you want to make it a fraction. • Examples 9= • WARNING: If you are still confused visit the extra help located on the back of the book .

  9. Illustrated fractionsmultiplying and dividing fractions • Multiplying fractions- • Step 1: First multiply the numerator straight across. • Step 2: Multiply the denominators straight across. • Step 3: Reduce if possible • Example:•+ • Dividing fractions- • Step 1: Turn the second fraction to a reciprocal. • Step 2: Multiply the fraction and the reciprocals together • Step 3: Simplify if possible. • MULTIPLYING AND DIVIDIN FRACTIONS WITH MIXED NUMBERS! • There is only really one more step. 2 Using this fraction you would multiply the 4 to the mixed number (2) • With the product (8) You would add 8 to the numerator and would get 10. You will keep the demnometer and this will look like,

  10. Illustrated fractionadding and subtracting • ADDING FRACTONS • Step 1.Have the same denominators. • Step 2. Add the numerators together. • Step 3. Simplify if needed. • (WITH MIXED NUMBERS LOOK BACK AT MULTIPLYING AND DIVIDING FRACTIONS TO THE MIXED NUMBERS SECTION) • SUBTRACTING FRACTIONS • Step 1. Have the same denominators. • Step 2. Subtract the numerators together. • Step 3.Simplify if needed.

  11. ILLISTRATED FRACTIONS COMMON DENOMINATORS • Common denominator- When the bottom number of a fraction is the same. • Step 1. Multiply each denominator by the others numerator and denominator • Step 2. Since they no have the same denominator now you can ado the property! • FOR EXTRA HELP LOOK ON THE BACK OF BOOK FOR THE EXTRA HELP FOLDER.

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