NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Fill in the Blanks
Question 37

Question. 37

\(\tfrac{17}{9}+\tfrac{41}{9}=\) _____.

Answer:

\(\tfrac{17}{9}+\tfrac{41}{9}=\) \(\tfrac{58}{9}\).

Detailed Answer with Explanation:

  1. Look at the denominators: both are 9, so they are the same.
  2. When denominators are the same, keep the denominator and add the numerators.
  3. Add the numerators: \[ 17 + 41 = 58 \]
  4. Write the sum with the same denominator: \[ \dfrac{17}{9} + \dfrac{41}{9} = \dfrac{17 + 41}{9} = \dfrac{58}{9} \]
  5. (Optional) As a mixed number: \[ \dfrac{58}{9} = 6\,\dfrac{4}{9} \]
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