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.
