Answer :

To solve this problem, we need to find what [tex]\(\frac{2}{3}\)[/tex] of 84 is. Here's the step-by-step solution:

1. Understand the Problem:
We need to determine [tex]\(\frac{2}{3}\)[/tex] of 84. This involves multiplying 84 by the fraction [tex]\(\frac{2}{3}\)[/tex].

2. Set Up the Fraction Multiplication:
The goal is to multiply the number 84 by the fraction [tex]\(\frac{2}{3}\)[/tex]. This can be written as:
[tex]\[ \frac{2}{3} \times 84 \][/tex]

3. Perform the Multiplication:
Multiplying a whole number by a fraction is done by first dividing the whole number by the denominator of the fraction and then multiplying the result by the numerator of the fraction.

- Divide 84 by 3 (the denominator of the fraction):
[tex]\[ 84 \div 3 = 28 \][/tex]

- Multiply the result by 2 (the numerator of the fraction):
[tex]\[ 28 \times 2 = 56 \][/tex]

4. Conclude the Solution:
Hence, [tex]\(\frac{2}{3}\)[/tex] of 84 is 56.

So, [tex]\(\frac{2}{3}\)[/tex] of 84 equals 56.

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