If 2/3 of a number equals 14, what is the number?

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Multiple Choice

If 2/3 of a number equals 14, what is the number?

To find the number where two-thirds equals 14, you start with the equation: \(\frac{2}{3} \times x = 14\) To solve for \(x\), you need to isolate it. You can do this by multiplying both sides of the equation by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\): \(x = 14 \times \frac{3}{2}\) Now, calculate the right side: 1. Multiply 14 by 3: \(14 \times 3 = 42\) 2. Divide 42 by 2: \(42 \div 2 = 21\) Thus, the value of \(x\), or the number we are looking for, is 21. This confirms that \(21\) is indeed the result of the operation, satisfying the original condition that \(\frac{2}{3}\) of this number equals 14. Therefore, the solution aligns perfectly with the mathematical reasoning involved, making 21 the correct answer.

To find the number where two-thirds equals 14, you start with the equation:

(\frac{2}{3} \times x = 14)

To solve for (x), you need to isolate it. You can do this by multiplying both sides of the equation by the reciprocal of (\frac{2}{3}), which is (\frac{3}{2}):

(x = 14 \times \frac{3}{2})

Now, calculate the right side:

  1. Multiply 14 by 3:

(14 \times 3 = 42)

  1. Divide 42 by 2:

(42 \div 2 = 21)

Thus, the value of (x), or the number we are looking for, is 21.

This confirms that (21) is indeed the result of the operation, satisfying the original condition that (\frac{2}{3}) of this number equals 14. Therefore, the solution aligns perfectly with the mathematical reasoning involved, making 21 the correct answer.

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