Respuesta :

To determine the value of the unknown number in this item, we have to let x be that number such that 0.75x is equal to 27. To calculate for the value of x, we divide 27 by 3/4. This operation gives us the value of 36. Hence, the answer to this item is 36.

36

Further explanation

Given:

[tex]\frac{3}{4}[/tex] of a number is 27.

Question:

What is the number?

The Process:

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

[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 27[/tex]

Three of the four parts are 27.

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

[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ? [/tex]

  • [tex]\boxed{ \ 3 \ parts = 27 \ }[/tex]
  • [tex]\boxed{ \ 4 \ parts = ? \ }[/tex]

[tex]\boxed{ \ = \frac{4}{3} \times 27 \ }[/tex]

We crossed out 3 and 27.

[tex]\boxed{ \ = 4 \times 9 \ }[/tex]

Thus the number is [tex]\boxed{\boxed{ \  36\ }}[/tex]

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Quick Steps:

³/₄ of a number is 27

The number is [tex]\boxed{ \ = \frac{4}{3} \times 27 \ }[/tex]

[tex]\boxed{ \ = 4 \times 9 \ }[/tex]

[tex]\boxed{\boxed{ \  36\ }}[/tex]

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Keywords: 3/4, a number, 27, what is the number, 36, parts, diagram, fraction