NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Fill in the Blanks
Question 33

Question. 33

\(\tfrac{87}{7}\) is equal to the mixed fraction _____.

Answer:

\(\tfrac{87}{7}\) is equal to the mixed fraction \(12\tfrac{3}{7}\).

Detailed Answer with Explanation:

  1. We have the improper fraction (dfrac{87}{7}).
  2. Divide (87) by (7).
  3. Compute multiples: (7 imes 12 = 84); (7 imes 13 = 91) (this is too big).
  4. So the quotient is (12).
  5. Find the remainder: (87 - 84 = 3).
  6. Write the mixed fraction:
    whole part (= 12),
    fraction part (= dfrac{ ext{remainder}}{ ext{denominator}} = dfrac{3}{7}).
  7. Therefore, (dfrac{87}{7} = 12dfrac{3}{7}).
  8. Check: (12 imes 7 + 3 = 84 + 3 = 87), so it is correct.
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