NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - True or False Questions
Question 54

Question. 54

In the decimal form, fraction \(\tfrac{25}{8}=3.125\).

Answer:

true

Detailed Answer with Explanation:

We want to change \(\tfrac{25}{8}\) into a decimal.

  1. Divide 25 by 8.
    \(25 \div 8 = 3\) with a remainder of \(1\).
  2. So, \(\tfrac{25}{8} = 3 + \tfrac{1}{8}\).
  3. Now change \(\tfrac{1}{8}\) into a decimal.
    Multiply top and bottom by \(125\).
    \(\tfrac{1}{8} = \tfrac{1\times125}{8\times125} = \tfrac{125}{1000}\).
  4. \(\tfrac{125}{1000} = 0.125\).
  5. Add them: \(3 + 0.125 = 3.125\).

Therefore, \(\tfrac{25}{8} = 3.125\). The statement is true.

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