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What is HCF of 36/75, 48/150 , 72/135?
- a)12/1350
- b)150/36
- c)1350/36
- d)72/225
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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What is HCF of 36/75, 48/150 , 72/135?a)12/1350b)150/36c)1350/36d)72/2...
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What is HCF of 36/75, 48/150 , 72/135?a)12/1350b)150/36c)1350/36d)72/2...
Solution:
To find out HCF of given fractions, we need to reduce each fraction to its lowest form.
Step 1: Reduce each given fraction to its lowest form.
- 36/75 can be reduced to 12/25 by dividing numerator and denominator by 3.
- 48/150 can be reduced to 8/25 by dividing numerator and denominator by 6.
- 72/135 can be reduced to 8/15 by dividing numerator and denominator by 9.
Step 2: Now, we need to find out the HCF of numerators and LCM of denominators of all the fractions.
- HCF of 12, 8, and 8 is 4.
- LCM of 25, 25, and 15 is 375.
Step 3: Finally, we need to write the HCF as a fraction with the LCM of denominators.
- HCF of numerators = 4.
- LCM of denominators = 375.
Therefore, HCF of given fractions = 4/375.
Option A is the correct answer as it represents the reduced form of the HCF of given fractions.
To find out HCF of given fractions, we need to reduce each fraction to its lowest form.
Step 1: Reduce each given fraction to its lowest form.
- 36/75 can be reduced to 12/25 by dividing numerator and denominator by 3.
- 48/150 can be reduced to 8/25 by dividing numerator and denominator by 6.
- 72/135 can be reduced to 8/15 by dividing numerator and denominator by 9.
Step 2: Now, we need to find out the HCF of numerators and LCM of denominators of all the fractions.
- HCF of 12, 8, and 8 is 4.
- LCM of 25, 25, and 15 is 375.
Step 3: Finally, we need to write the HCF as a fraction with the LCM of denominators.
- HCF of numerators = 4.
- LCM of denominators = 375.
Therefore, HCF of given fractions = 4/375.
Option A is the correct answer as it represents the reduced form of the HCF of given fractions.
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What is HCF of 36/75, 48/150 , 72/135?a)12/1350b)150/36c)1350/36d)72/225e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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