Math, asked by preetikajashnani, 7 months ago

Write the fractions in order of size, smallest first 11/12, 5/6 , 3/4

Answers

Answered by khushi7190
0

Step-by-step explanation:

Multiply the numerator of

A

with the denominator of

B

. The resulting product would be

A

's weighted value relative to

B

.

A

=

11

12

B

=

7

8

W

A

B

=

11

8

=

88

Similarly, multiply the numerator of

B

with the denominator of

A

. The resulting product would be

B

's weighted value relative to

A

W

B

A

=

7

12

=

84

Compare the weighted value of

A

and

B

. Whichever has the higher weighted value, is larger.

W

A

B

=

88

?

W

B

A

=

84

W

A

B

>

W

B

A

A

>

B

Note the use of the word relative. This is because the computed weighted value is only valid between the two numbers. If a third number is involved, the above steps need to be performed for each possible pairing

Do the same for

A

and

C

A

=

11

12

C

=

15

16

W

A

C

=

11

16

=

176

W

C

A

=

12

15

=

180

W

A

C

=

176

?

W

C

A

=

180

W

A

C

<

W

C

A

A

<

C

C

>

A

Since A > B, and C > A, it should follow that C > B.

Hence, we will no longer check which is bigger between B and C.

7

8

<

11

12

<

15

16

Answer link

EZ as pi

Dec 3, 2016

7

8

<

11

12

<

15

16

Explanation:

You cannot compare fractions which have different denominators.

Convert all the fractions to a common denominator.

In this case the

L

C

M

=

48

11

12

×

4

4

7

8

×

6

6

15

16

×

3

3

=

44

48

=

42

48

=

45

48

It is now possible to compare and arrange them in order:

42

48

<

44

48

<

45

48

Using the original fractions:

7

8

<

11

12

<

15

16

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Another method works in this case if you realise that each fraction is only 1 part short of being a whole number.

11

12

is

1

12

less than 1,

7

8

is

1

8

less than 1

15

16

is

1

16

less than 1.

Arranging in size

1

8

>

1

12

>

1

16

Therefore

7

8

is furthest from 1 and must be the smallest.

15

16

is closest to 1 and is therefore the biggest

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