To solve the given questions, let's break them down one by one and provide a detailed, step-by-step solution:
### 15a) [tex]\(\frac{20}{3}\)[/tex]
1. Understanding the problem: We are given a fraction [tex]\(\frac{20}{3}\)[/tex] and need to express it in decimal form.
2. Perform the division: To convert the fraction into a decimal, divide the numerator (20) by the denominator (3).
3. Calculation: Divide 20 by 3. The result of 20 divided by 3 is approximately 6.666666666666667.
Therefore, the decimal representation of [tex]\(\frac{20}{3}\)[/tex] is [tex]\(6.666666666666667\)[/tex].
### 2) [tex]\(20 \div 3\)[/tex]
1. Understanding the problem: We are asked to perform the division [tex]\(20 \div 3\)[/tex] and express the result in decimal form.
2. Perform the division: Divide 20 by 3.
3. Calculation: When we divide 20 by 3, the result is the same as we found in part 15a, which is approximately 6.666666666666667.
Therefore, the result of [tex]\(20 \div 3\)[/tex] is [tex]\(6.666666666666667\)[/tex].
### Summary
Both parts of the question involve dividing 20 by 3. Following the steps required for such division, we obtain the same result for each part:
- [tex]\(\frac{20}{3}\)[/tex] results in approximately [tex]\(6.666666666666667\)[/tex].
- [tex]\(20 \div 3\)[/tex] also results in approximately [tex]\(6.666666666666667\)[/tex].
Therefore, for both parts of the question, the final answer is [tex]\(6.666666666666667\)[/tex].
