NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and SolutionsQuestion 91
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question. 91
Write \(\dfrac{129}{8}\) as a mixed fraction.
Answer:
\(16\dfrac{1}{8}\)
Detailed Answer with Explanation:
Goal: Write \(\dfrac{129}{8}\) as a mixed number.
Step 1: Divide the numerator by the denominator.
\[129 \div 8\]
Try multiples of 8:
\[8 \times 16 = 128\]
\[8 \times 17 = 136\;\text{(too big)}\]
So the quotient is \(16\) and the remainder is \(1\).
Step 2: Form the mixed number.
Whole part = quotient = \(16\).
Fraction part = \(\tfrac{\text{remainder}}{\text{denominator}} = \tfrac{1}{8}\).
Answer:
\[\dfrac{129}{8} = 16\dfrac{1}{8}\]
Check:
\[16 \times 8 = 128,\quad 128 + 1 = 129\;\Rightarrow\; \text{correct}.\]