Answer

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**Hint:**In this problem, we have to find the value of one half of one quarter of one tenth of 480. We can first write the suitable mathematical expression for the given question. We will then multiply them as the term ‘of’ given denotes the operation multiplication. We can then simplify the fraction terms and the given number by dividing or cancelling them to get the answer for it.

**Complete step by step answer:**

Here we have to find the value of one half of one quarter of one tenth of 480.

We can now write the suitable mathematical expression for the given statement.

Here we can write the fraction terms mathematically and multiply these terms to 480 as we are given the term ‘of’ which denotes multiplication, we get

\[\Rightarrow \dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{1}{10}\times 480\]

We can now simplify the above step by rearranging them, we get

\[\Rightarrow \dfrac{48\times 10}{8\times 10}\]

We can now simplify the above step by cancelling the similar terms, we get

\[\Rightarrow \dfrac{48}{8}=6\]

The value of one half of one quarter of one tenth of 480 is 6.

**So, the correct answer is “Option B”.**

**Note:**We should always remember that, we have to make a mathematical expression whenever we make calculations with operations. Here we are given the term ‘of’, which represents the multiplication operation to be performed between the given numbers and the fractions.

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