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

Question 58

1. Look at the left side (LHS): ( frac{25}{19} + frac{6}{19} ).
2. Both fractions have the same denominator (19).
   Rule: When denominators are the same, add the numerators and keep the denominator.
3. Add the numerators: ( 25 + 6 = 31 ).
4. So, ( frac{25}{19} + frac{6}{19} = frac{31}{19} ).
5. The right side (RHS) is ( frac{31}{38} ).
6. To compare, write ( frac{31}{19} ) with denominator (38): multiply top and bottom by (2).
   ( frac{31}{19} = frac{31 imes 2}{19 imes 2} = frac{62}{38} ).
7. Now compare: ( frac{62}{38} eq frac{31}{38} ).

Therefore, the statement ( frac{25}{19} + frac{6}{19} = frac{31}{38} ) is false. The correct sum is ( frac{31}{19} ) (which is ( 1 frac{12}{19} ) as a mixed number).