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Fundamental Concepts (Including Fundamental Operations) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSFundamental Concepts (Including Fundamental Operations)2 Marks
Question
Simplify: $\frac{\mathrm{k}+1}{2}+\frac{2 \mathrm{k}-1}{3}-\frac{\mathrm{k}+3}{4}$
✓

Answer


$\begin{aligned} & \frac{\mathrm{k}+1}{2}+\frac{2 \mathrm{k}-1}{3}-\frac{\mathrm{k}+3}{4} \\ & =\frac{6 \mathrm{k}+6+8 \mathrm{k}-4-3 \mathrm{k}-9}{12} \ldots(\mathrm{LCM} \text { of } 2,3,4=12) \\ & =\frac{14 \mathrm{k}-3 \mathrm{k}+6-13}{12} \\ & =\frac{11 \mathrm{k}-7}{12}\end{aligned}$

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