Verified Answer :

Let x be the number. By the given above, the relationship between the numbers and the newly-introduced variable is expressed as (2/5)(x) = 14. To determine the value of x, divide 14 by 2/5. This will give us the answer which is equal to 35. Hence, the answer to this item is 35.

35

Further explanation

Given:

\(\frac{2}{5}\) of a number is 14.

Question:

What is the number?

The Process:

From the information above, we make a suitable diagram as follows:

\(\boxed{\cdot}\boxed{\cdot} = 14\)

Two of the five parts are 14.

Then we will find out what is the number in five parts.

\(\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ?\)

  • \(\boxed{ \ 2 \ parts = 14 \ }\)
  • \(\boxed{ \ 5 \ parts = ? \ }\)

\(\boxed{ \ = \frac{5}{2} \times 14 \ }\)

We crossed out 2 and 14.

\(\boxed{ \ = 5 \times 7 \ }\)

Thus the number is \(\boxed{\boxed{ \ 35 \ }}\)

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Quick Steps:

\(\frac{2}{5}\) of a number is 14.

The number is \(\boxed{ \ = \frac{5}{2} \times 14 \ }\)

\(\boxed{ \ = 5 \times 7 \ }\)

\(\boxed{\boxed{ \ 35 \ }}\)

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Keywords: 2/5, a number, 14, what is the number, 35, parts, diagram, fraction