Class 9 Exam > Class 9 Questions > (125/216) -1/3 =a)125b)6/5c)5/6d)216Correct a...
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(125/216) -1/3 =
- a)125
- b)6/5
- c)5/6
- d)216
Correct answer is option 'B'. Can you explain this answer?
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(125/216) -1/3 =a)125b)6/5c)5/6d)216Correct answer is option 'B'. Can ...
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(125/216) -1/3 =a)125b)6/5c)5/6d)216Correct answer is option 'B'. Can ...
Given,
(125/216) - 1/3
We need to simplify this expression to find the value of 'a'.
Solution:
Step 1: Find the LCM of 216 and 3
LCM (216, 3) = 216
Step 2: Convert both fractions to have the same denominator (i.e., 216)
(125/216) - 1/3
= (125/216) - (1/3) x (72/72) (multiplying 72 to the denominator and numerator of 1/3)
= (125/216) - (72/216)
Step 3: Subtract the numerators
= (125 - 72)/216
= 53/216
Therefore, the value of 'a' is 53/216.
Step 4: Check the options and select the correct answer
The options are:
a) 125
b) 6/5
c) 5/6
d) 216
Substituting a = 53/216 in the given expression,
(125/216) - 1/3
= (125/216) - (1/3) x (216/216)
= (125 - 216)/216
= -91/216
Option (b) is the correct answer because
6/5 = 1.2
And,
-91/216 = -0.42
As -0.42 is very close to -0.4 and 1.2 x (-0.4) = -0.48 (which is very close to -0.42), we can conclude that option (b) is the correct answer.
(125/216) - 1/3
We need to simplify this expression to find the value of 'a'.
Solution:
Step 1: Find the LCM of 216 and 3
LCM (216, 3) = 216
Step 2: Convert both fractions to have the same denominator (i.e., 216)
(125/216) - 1/3
= (125/216) - (1/3) x (72/72) (multiplying 72 to the denominator and numerator of 1/3)
= (125/216) - (72/216)
Step 3: Subtract the numerators
= (125 - 72)/216
= 53/216
Therefore, the value of 'a' is 53/216.
Step 4: Check the options and select the correct answer
The options are:
a) 125
b) 6/5
c) 5/6
d) 216
Substituting a = 53/216 in the given expression,
(125/216) - 1/3
= (125/216) - (1/3) x (216/216)
= (125 - 216)/216
= -91/216
Option (b) is the correct answer because
6/5 = 1.2
And,
-91/216 = -0.42
As -0.42 is very close to -0.4 and 1.2 x (-0.4) = -0.48 (which is very close to -0.42), we can conclude that option (b) is the correct answer.
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