Elementary
Math:
APGM’s
Lesson 1
How to Find the Equivalent Value of a
Fraction
1/5 of 45 is
_____ answer: 9
Easy Solution/Technique:
Use the denominator to skip count
until you reach the given whole number. Since the denominator tells us how many parts
a whole has been divided.
To illustrate:
5,
10 , 15
, 20 , 25 ,
30 , 35 ,
40 , 45
We based our skip-counting on 5 being
our denominator and ended on 45
being the given whole number from where we are extracting the fraction’s
equivalent. Count the sets
of 5 till it reached 45 and you will find out it is 9. 5 being the first set
and 45 the last set is 9th.
Actually, we don’t need a scratch
paper here if the value is that small.
Just use your fingers. You will get the answer right away. Start on 5
and end on 45, it will show 9.
Another method is:
1/5 x 45/1 = 9
“of” is substituted by “x” operation
symbol for multiplication.
(1 x 45 = 45, will be our numerator)
((5 x 1 = 5 our denominators product)
therefore,
45/5
= 9
45 divided by 5 = 9
Another Example:
1/9 of 72 = ______ the answer is 8
How?
9 being the denominator – the base
of our skip-counting. 72 the given whole
number the ending point.
9
18 27 36
45 54 63 72
Counting the sets of
nine, it shows 8
Another method
-1/9 x 72/1 = 72/9
-(1 x 72) = numerator (9x1) = denominator
72/9 = 8
(72 divided by 9)
Divide 72 by 9 you
will arrive on that same answer, 8.
If the numerator is
a number other than 1, just multiply
the answer to that given numerator since 1/9 of 72 is 8 that just mean that one
part of 72 is 8 therefore to get 2 parts , we need to multiply that 1 part to 2.
e.g.
2/9 of 72
1/9 of 72 is 8 x 2 = 16
or
Another technique is:
2/9 x 72/1 = 144/9 = 16
-(2 x 72) numerator then (9x 1) =
denominator
-144/9 (144 divided by 9)
-16
I have taught this to
my eldest, Angel Reign and that part of their Math exam with questions like
these, she got it 100% correct, that is in her grade 1 maybe that proves this
is easier for children. Hope to have helped you teach these methods to your
children too.
Thanks for reading
.
Thanks for reading
.
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