FIND THE VALUE OF
( 16)⅔
Answers
Answer:
Percentage is parts of 100.
Note that the % sign is like units of measurement. Its value to be considered as:
1
100
An example: 2% is the same as
2
×
1
100
=
2
100
So the
16
2
3
%
is the same as
16
2
3
×
1
100
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write
16
2
3
as
16
+
2
3
Change into fractions of 100 parts
16
100
+
2
3
100
But
2
3
100
=
2
3
×
1
100
Now we have
16
100
+
2
×
1
3
×
100
16
100
+
2
300
Before we can add these directly we need to make the bottom numbers the same (denominators)
Need to change the 100 in
16
100
into 300.
Multiply by 1 but in the form of
3
3
16
×
3
100
×
3
+
2
300
=
48
300
+
2
300
=
50
300
Simplifying gives:
=
50
÷
10
300
÷
10
=
5
30
=
5
÷
5
30
÷
5
=
1
6
Answer link
Tony B
Nov 18, 2017
Alternative presentation of same idea
1
6
Explanation:
Note that
16
2
3
is the same as
dd
16
d.d
+
dd
2
3
Also:
3
×
16
2
3
is the same as
[
3
×
16
]
+
[
3
×
2
3
]
=
48
+
2
=
50
Multiply by 1 and you do not change the value. However, 1 comes in many ways.
16
2
3
%
=
d
[
16
100
]
dd
+
dd
[
2
3
100
]
ddddd
→
[
16
100
×
1
]
+
[
2
3
100
×
1
]
ddddd
→
[
16
100
×
3
3
]
+
[
2
3
100
×
3
3
]
ddddd
→
dd
[
48
300
]
dd
+
dd
[
2
300
]
dddddddddd
→
d
50
÷
50
300
÷
50
=
1
6
color(white)("d")
Answer link
EZ as pi
Jan 11, 2018
1
6
Explanation:
%
means 'out of 100'
So
29
%
means
29
100
Sometimes the fraction can be simplified:
35
%
=
35
100
=
7
20
In this case we have a mixed number as a percent.
Change it into an improper fraction:
16
2
3
%
=
50
3
%
Write it in the same way as before:
50
3
100
This actually means:
50
3
÷
100
1
=
50
3
×
1
100
←
multiply by the reciprocal
Simplify:
50
3
×
1
100
2
=
1
6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You can also use the short cut rule:
a
b
c
d
=
a
×
d
b
×
c
=
a
d
b
c
50
3
100
=
50
3
100
1
=
50
×
1
100
×
3
=
1
2
×
1
3
=
1
6