NCERT · Class 7 · Mathematics · Fractions and DecimalsWhat is the value of \(3 \frac{1}{2} + 1 \frac{1}{4}\)?
Step-by-Step Solution
First convert mixed fractions to improper fractions: (3 \frac{1}{2} = \frac{7}{2}) and (1 \frac{1}{4} = \frac{5}{4}). Find a common denominator, which is 4. (\frac{7}{2} = \frac{14}{4}). Then add: (\frac{14}{4} + \frac{5}{4} = \frac{19}{4} = 4 \frac{3}{4}).
Detailed Options Breakdown
Option : 4 3/4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 4 1/4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Fractions and Decimals.
Option 2: 5 1/4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Fractions and Decimals.
Option 3: 4 1/2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Fractions and Decimals.
💡 Study Guide: This question tests core syllabus concepts from Fractions and Decimals. For formulas, key summaries, and mock exam reference guides, read the full Fractions and Decimals Revision Notes.