Absolutely, let's break this down step by step.
(i) Evaluate [tex]\(\frac{2}{3} \times 60\)[/tex]:
1. Identify the fraction and the whole number to be multiplied:
- The fraction is [tex]\(\frac{2}{3}\)[/tex].
- The whole number is 60.
2. Perform the multiplication:
- Multiply the fraction by the whole number: [tex]\(\frac{2}{3} \times 60\)[/tex].
3. Simplify the multiplication:
- First, multiply the numerator (2) by the whole number (60): [tex]\(2 \times 60 = 120\)[/tex].
- Then, divide the result by the denominator (3): [tex]\(\frac{120}{3} = 40\)[/tex].
4. Result:
- The result of the multiplication [tex]\(\frac{2}{3} \times 60\)[/tex] is 40.
So, [tex]\(\frac{2}{3} \times 60 = 40\)[/tex].