NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions

Question 97

We want to find: \(\dfrac{1}{2} - \dfrac{1}{6}\).

1. Make the denominators the same.
   The smallest number that both 2 and 6 divide into is 6 (this is the LCM).

2. Change \(\dfrac{1}{2}\) to sixths.
   Multiply top and bottom by 3:

   \[ \dfrac{1}{2} \times \dfrac{3}{3} = \dfrac{3}{6} \]

3. Now subtract the fractions.
   Keep the denominator 6 and subtract the numerators:

   \[ \dfrac{3}{6} - \dfrac{1}{6} = \dfrac{2}{6} \]

4. Simplify the answer.
   Divide top and bottom by 2:

   \[ \dfrac{2}{6} = \dfrac{1}{3} \]

Final Answer: \(\dfrac{1}{3}\).