Math, asked by siddhika93, 1 month ago

FIND THE VALUE OF
( 16)⅔​

Answers

Answered by mukundmidge58342
1

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

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