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:
[tex]\frac{2}{5}[/tex] of a number is 14.
Question:
What is the number?
The Process:
From the information above, we make a suitable diagram as follows:
[tex]\boxed{\cdot}\boxed{\cdot} = 14[/tex]
Two of the five parts are 14.
Then we will find out what is the number in five parts.
[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ? [/tex]
- [tex]\boxed{ \ 2 \ parts = 14 \ }[/tex]
- [tex]\boxed{ \ 5 \ parts = ? \ }[/tex]
[tex]\boxed{ \ = \frac{5}{2} \times 14 \ }[/tex]
We crossed out 2 and 14.
[tex]\boxed{ \ = 5 \times 7 \ }[/tex]
Thus the number is [tex]\boxed{\boxed{ \ 35 \ }}[/tex]
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Quick Steps:
[tex]\frac{2}{5}[/tex] of a number is 14.
The number is [tex]\boxed{ \ = \frac{5}{2} \times 14 \ }[/tex]
[tex]\boxed{ \ = 5 \times 7 \ }[/tex]
[tex]\boxed{\boxed{ \ 35 \ }}[/tex]
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Keywords: 2/5, a number, 14, what is the number, 35, parts, diagram, fraction