NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and SolutionsQuestion 99
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question. 99
Subtract \(1\dfrac{1}{4}\) from \(6\dfrac{1}{2}\).
Answer:
\(5\dfrac{1}{4}\)
Detailed Answer with Explanation:
Goal: Find \(6\dfrac{1}{2} - 1\dfrac{1}{4}\).
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Change mixed numbers to improper fractions.
\(6\dfrac{1}{2} = \dfrac{13}{2}\)
\(1\dfrac{1}{4} = \dfrac{5}{4}\)
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Make the denominators the same. LCM of 2 and 4 is 4.
\(\dfrac{13}{2} = \dfrac{26}{4}\)
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Subtract the fractions (same denominator).
\(\dfrac{26}{4} - \dfrac{5}{4} = \dfrac{21}{4}\)
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Convert the improper fraction to a mixed number.
Divide: \(21 \div 4 = 5\) remainder \(1\).
So, \(\dfrac{21}{4} = 5\dfrac{1}{4}\).
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Answer: \(5\dfrac{1}{4}\).