State true or false.The fractions

4
5

,
7

10

,

11

15

,

17

20

in ascending order will be

7

10

Question

State true or false.The fractions

4
    5
   
   ,
    7
    
     10
   
   ,
    
     11
    
     15
   
   ,
    
     17
    
     20

in ascending order will be

7
    
     10
   
   <
    
     11
    
     15
   
   <
    4
    5
   
   <
    
     17
    
     20

in ascending order will be  .

Accepted Answer

We have to check if fractions

4
    5
   
   ,
    7
    
     10
   
   ,
    
     11
    
     15
   
   ,
    
     17
    
     20

in ascending order will be

7
    
     10
   
   <
    
     11
    
     15
   
   <
    4
    5
   
   <
    
     17
    
     20

.Making the denominators equal by converting the fractions into equivalent fractions and comparing the numerators of the fractions.Taking the L.C.M of the denominators of the given fractions.

⇒
  L.C.M of Multiplying numerator and denominator of

4
    5

with 12 to make the denominator 60.Multiplying numerator and denominator of

7
    
     10

with 6 to make the denominator 60.

⇒
    
     7×6
    
     10×6
   
   =
    
     42
    
     60

Multiplying numerator and denominator of

11
    
     15

with 4 to make the denominator 60.

⇒
    
     11×4
    
     15×4
   
   =
    
     44
    
     60

Multiplying numerator and denominator of

17
    
     20

with 3 to make the denominator 60.

⇒
    
     17×3
    
     20×3
   
   =
    
     51
    
     60

Now comparing,

⇒
    
     42
    
     60
   
   <
    
     44
    
     60
   
   <
    
     48
    
     60
   
   <
    
     51
    
     60

, that is,

7
    
     10
   
   <
    
     11
    
     15
   
   <
    4
    5
   
   <
    
     17
    
     20

.Thus the statement is true.Therefore, option 1 is correct.

State true or false.

The fractions $45, 710, 1115, 1720$ in ascending order will be $710 < 1115 < 45 < 1720$ in ascending order will be .

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State true or false.The fractions 4 5 , 7 10 , 11 15 , 17 20 in ascending order will be 7 10 < 11 15 < 4 5 < 17 20 in ascending order will be .

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State true or false.

The fractions $45, 710, 1115, 1720$ in ascending order will be $710 < 1115 < 45 < 1720$ in ascending order will be .