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.