NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and SolutionsQuestion 79
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question. 79
Express \(6\dfrac{2}{3}\) as an improper fraction.
Answer:
\(\dfrac{20}{3}\)
Detailed Answer with Explanation:
Idea: A mixed number \(6\dfrac{2}{3}\) means a whole part and a fraction part.
The whole part is \(6\).
The fraction part is \(\dfrac{2}{3}\).
Step 1: Change the whole part into thirds.
Each whole has \(3\) thirds.
So \(6\) wholes = \(6 \times 3\) thirds = \(18\) thirds.
That is \(\dfrac{18}{3}\).
Step 2: Add the extra \(\dfrac{2}{3}\).
\(\dfrac{18}{3} + \dfrac{2}{3} = \dfrac{18 + 2}{3}\).
\(\dfrac{20}{3}\).
Answer: \(6\dfrac{2}{3} = \dfrac{20}{3}\).