If 2/5 of a number is 8, what is the number?

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Multiple Choice

If 2/5 of a number is 8, what is the number?

Explanation:
To find the number when given that \(\frac{2}{5}\) of it equals 8, we set up the equation: \[ \frac{2}{5} \times x = 8 \] Here, \(x\) represents the number we are looking for. To isolate \(x\), we begin by multiplying both sides of the equation by 5 to eliminate the fraction: \[ 2x = 8 \times 5 \] Calculating the right side, we find: \[ 2x = 40 \] Next, to solve for \(x\), we divide both sides by 2: \[ x = \frac{40}{2} = 20 \] Thus, the number is 20. This confirms that when you take \(\frac{2}{5}\) of 20, you do indeed get 8, since: \[ \frac{2}{5} \times 20 = 8 \] This supports that the number we were trying to find is 20, making it the correct answer among the options provided.

To find the number when given that (\frac{2}{5}) of it equals 8, we set up the equation:

[

\frac{2}{5} \times x = 8

]

Here, (x) represents the number we are looking for. To isolate (x), we begin by multiplying both sides of the equation by 5 to eliminate the fraction:

[

2x = 8 \times 5

]

Calculating the right side, we find:

[

2x = 40

]

Next, to solve for (x), we divide both sides by 2:

[

x = \frac{40}{2} = 20

]

Thus, the number is 20. This confirms that when you take (\frac{2}{5}) of 20, you do indeed get 8, since:

[

\frac{2}{5} \times 20 = 8

]

This supports that the number we were trying to find is 20, making it the correct answer among the options provided.

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