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Question

Multiple choice.
$$\dfrac{1}{7} + \dfrac{4}{14}$$ is equal to

A
$$\dfrac{5}{14}$$
B
$$\dfrac{3}{14}$$
C
$$\dfrac{3}{7}$$
D
$$\dfrac{5}{7}$$
Solution
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Correct option is D. $$\dfrac{3}{7}$$
$$\dfrac{1}{7} + \dfrac{4}{14}$$
$$\left(L.C.M. of \,7 \, and\, 14\, is\, 14\right)$$

$$\Rightarrow \dfrac{\left(1 \times 2\right) + \left(4 \times 1\right)}{14} = \dfrac{2 + 4}{14} = \dfrac{6}{14} = \dfrac{3}{7}$$ $$\left(d\right)$$

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