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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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