Question : The LCM of $\frac{3}{8}, \frac{5}{16},$ and $\frac{7}{2}$ is:
Option 1: $101 \frac{1}{2}$
Option 2: $52 \frac{1}{2}$
Option 3: $28 \frac{1}{2}$
Option 4: $25 \frac{1}{4}$
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Correct Answer: $52 \frac{1}{2}$
Solution : LCM of Fraction = $\frac{\text {LCM of numerator}}{\text{HCF of denominator}}$ LCM of 3, 5, and 7 = 3 × 5 × 7 = 105 HCF of 8, 16, and 2 = 2 So, LCM of $\frac{3}{8}, \frac{5}{16}$ and $\frac{7}{2}=\frac{105}{2}=52 \frac{1}{2}$ Hence, the correct answer is $52 \frac{1}{2}$.
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Question : The HCF of $\frac{1}{2}, \frac{3}{4}, \frac{5}{6},$ and $\frac{7}{8}$ is:
Question : If $2x+\frac{2}{x}=3$, then the value of $x^{3}+\frac{1}{x^{3}}+2$ is:
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