FRACTIONS/FRACTIONS

Abdullah Abdul H
Mind Map by Abdullah Abdul H, updated more than 1 year ago
Abdullah Abdul H
Created by Abdullah Abdul H almost 5 years ago
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It's all about fractions

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FRACTIONS/FRACTIONS
1 THE TERMINOLOGY
1.1 THE NUMERATOR
1.1.1 Every fraction mixed numbered, improper or proper has it's parts. Therefore the numerator in a fraction is the number above the dash and denominator. Though what does this numerator resemble... of course, it depicts the amount of pieces or parts used specifically and is mentioned to show how many parts of a whole number or whole object. For example: 2/3 shirts are blue- the numerator is 2 as it shows that 3 is the amount of shirts or pieces and that there are 2 blue shirts or pieces out of the 3.
1.2 DENOMINATOR
1.2.1 The denominator of any type of fraction is the amount of pieces shown or how many parts are shown. The denominator also has a numerator in any fraction. We all see the us denominators in fractions everyday: there are 1/2 candies on the desk. 2 is the denominator as there were 2 objects and 1 of them is candy. Therefore, 2 is the denominator.
1.3 EQUIVALENT FRACTIONS
1.3.1 EQUIVALENT FRACTIONS
1.3.1.1 Equivalent fractions are all the same, literally. These fractions tell us about the same value of fractions and the different ways they portray th same and correct answer: 1/1 = 2/2, 3/4 =6/8 and 5/6 = 15/18 etc. These fractions are always made equivalent when the numerator and denominator and multiplied or divided by the same no. The number 2/3 multiplied by 2 would equal 4/6 and 4/6 divided by 2 would equal the same, 2/3. You can also multiply the fractions with 0.5 of itself: 8/10 multiplied by .5: 4/5 and 1.5 multiplied by 8/10: 12/15. So if you multiply a fraction with the answer without decimals and correctly manipulate both numerator and denominator. For example: if Johnny argues with Timothy about the amount of gold they have and Johnny has 2/6 gold pieces while Timothy has 4/12 gold pieces.... they should've have realized that 4/12 and 2/6 are both equivalent. Since 2/6 multiplied by 2 is 4/12 and 4/12 divided by 2 is 2/6 so they shared the same amount of gold.
1.3.2 LOWEST COMMON DENOMINATOR
1.3.2.1 The L.C.D is an acronym for the term, lowest common denominator. This term or using this strategy helps us when we have to compare or manipulate with fraction which have different denominator. this concept is very similar to the lowest common multiple. For example if you had to add 1/2 AND 1/4... the way to find out the answer would be to list multiples of 2 and 4 and see which no. appears the same on both lists the first hence, the name lowest.Therefore the answer would be 1/2 times 2: 2/4 plus 1/4. The answer would be 3/4.
1.3.3 MANIPULATING FRACTIONS
1.3.3.1 Whenever we go to the store, watch a game, play outside, we see fractions. They're sometimes added and subtracted. All types of fractions are manipulated all the time: If you bought a toy for 3/4 for it's price and a pair of jeans for only 1/4 of it's price, the amount of money you'd be saving will sum up when 4/4 subtracted by 3/4 makes 1/4 plus 4/4 subtracted by 1/4 makes 3/4. This equation would be written like this: 4/4 - 3/4 + 4/4 - 1/4= 1/4 + 3/4: 4/4. So you would be saving 4/4 or 100% on both items at the cash register. Though when you have to manipulate with mixed no. or fractions with different denominator, you'd convert them by finding the L.C.D. and subtract or add. If you have mixed no. firstly, solve the fractions not the whole no. and the find the difference: 2 1/4 - 1 1/2: first the fractions: 1/4 - 1/2 or 2/4: borrowing from the whole no... Take out 1 whole from 2 : 4/4 =1/4: 5/4-2/4: 3/4 +1-1= 0. The answer is 3/4 + 0 + 3/4.
1.4 IMPROPER FRACTIONS
1.4.1 Any improper fraction is a fraction which has a greater numerator than the denominator. This fraction is is usually found when 2 or more fractions are added. For example Jake had 4/5 pairs of shoes and Ron had 3/5 pairs of shoes.That means altogether, they have 7/'5 pairs of shoes.
1.5 MIXED NUMBER FRACTIONS
1.5.1 In our life we use fractions and not only proper and improper but the amazing mixed no. fraction. These fractions are used when an improper fraction is converted. A mixed no. fraction resembles 3 parts: a whole no. which tells us about how many wholes can be made from the numerator: 9/4 is the same as: 2 and 1/4. This is because, 9 can be divided into 4 2 times and... the left over pieces are turned into a proper fraction with the denominator larger than the numerator. Here is an example: If had 2 pieces of bread and ate 1/2 of a bread slice then I would have 1 as my partial no., a proper fraction with 1 as my numerator and 2 as my denominator as 2 was the amount of bread slices. This means I had 1 whole bread slice and half a bread slice which equals: 1 1/2 slices.
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