Class 6 Exam  >  Class 6 Questions  >  The sum of 5/6 + 1/3 is _____.a)7/6b)2/3c)1d)... Start Learning for Free
The sum of 5/6 + 1/3 is _____.
  • a)
    7/6
  • b)
    2/3
  • c)
    1
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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The sum of 5/6 + 1/3 is _____.a)7/6b)2/3c)1d)None of theseCorrect answ...
Understanding the Problem
To find the sum of the fractions 5/6 and 1/3, we first need to ensure that both fractions have a common denominator.
Finding the Common Denominator
- The denominators are 6 and 3.
- The least common multiple (LCM) of 6 and 3 is 6.
Converting the Fractions
- The first fraction, 5/6, already has the denominator of 6.
- The second fraction, 1/3, needs to be converted:
- Multiply both the numerator and denominator by 2:
- 1 * 2 = 2
- 3 * 2 = 6
- So, 1/3 becomes 2/6.
Adding the Fractions
Now we can add the two fractions:
- 5/6 + 2/6
- Since the denominators are the same, we add the numerators:
- 5 + 2 = 7
- The sum is 7/6.
Final Answer
Thus, the sum of 5/6 + 1/3 is 7/6, which corresponds to option 'A'.
This method of finding a common denominator and adding fractions is fundamental in fraction operations, making it essential for class 6 mathematics.
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