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Q.

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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a

True

b

False 

answer is A.

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Detailed Solution

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 Question ImageMultiplying numerator and denominator of 4 5 with 12 to make the denominator 60.
Question ImageMultiplying 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.
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