NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - True or False Questions
Question 16

Question. 16

\(\dfrac{3}{8} = \dfrac{15}{40}\)

Answer:

true

Detailed Answer with Explanation:

  1. Start with the second fraction: ( dfrac{15}{40} ).
  2. Find a common factor of 15 and 40.
    Both are divisible by ( 5 ).
  3. Divide the numerator and denominator by the same number (this keeps the value the same):
    ( 15 div 5 = 3 )
    ( 40 div 5 = 8 )
  4. So the simplified form is:
    ( dfrac{15}{40} = dfrac{3}{8} )
  5. Now compare with the first fraction:
    ( dfrac{3}{8} ) and ( dfrac{3}{8} ) are the same.

Conclusion: The statement is true.

Quick check (optional): Cross-multiply to be sure.
( 3 imes 40 = 120 )
( 8 imes 15 = 120 )
Since both products are equal, the fractions are equal.

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