Answer :
Sure! Let's break down the solution to this problem in a simple way:
1. Understanding the Fractions:
- You have a list of fractions, each being [tex]\(\frac{1}{10}\)[/tex].
- There are seven fractions of [tex]\(\frac{1}{10}\)[/tex] and one fraction of [tex]\(\frac{8}{10}\)[/tex].
2. Adding the Fractions Together:
- When you add up [tex]\(\frac{1}{10}\)[/tex] seven times, you get [tex]\(\frac{7}{10}\)[/tex].
- Then, you have the additional fraction [tex]\(\frac{8}{10}\)[/tex].
3. Writing as a Multiple of a Fraction:
- We want to express the entire sum as a multiple of [tex]\(\frac{1}{10}\)[/tex].
- Notice that [tex]\(\frac{8}{10}\)[/tex] can be rewritten as a product: [tex]\(8 \times \frac{1}{10}\)[/tex].
4. Result:
- So, the entire sequence of adding up the fractions represents 8 fractions in total:
- The first 7 fractions each are [tex]\(\frac{1}{10}\)[/tex].
- The entire thing can be expressed as [tex]\(8 \times \frac{1}{10}\)[/tex].
- This results in 8 as the total number of fractions, and [tex]\(\frac{8}{10}\)[/tex] as the sum.
Therefore, the total number of fractions is 8, and the sum [tex]\(\frac{8}{10}\)[/tex] is expressed as a multiple: [tex]\(8 \times \frac{1}{10}\)[/tex], which equals 0.8.
1. Understanding the Fractions:
- You have a list of fractions, each being [tex]\(\frac{1}{10}\)[/tex].
- There are seven fractions of [tex]\(\frac{1}{10}\)[/tex] and one fraction of [tex]\(\frac{8}{10}\)[/tex].
2. Adding the Fractions Together:
- When you add up [tex]\(\frac{1}{10}\)[/tex] seven times, you get [tex]\(\frac{7}{10}\)[/tex].
- Then, you have the additional fraction [tex]\(\frac{8}{10}\)[/tex].
3. Writing as a Multiple of a Fraction:
- We want to express the entire sum as a multiple of [tex]\(\frac{1}{10}\)[/tex].
- Notice that [tex]\(\frac{8}{10}\)[/tex] can be rewritten as a product: [tex]\(8 \times \frac{1}{10}\)[/tex].
4. Result:
- So, the entire sequence of adding up the fractions represents 8 fractions in total:
- The first 7 fractions each are [tex]\(\frac{1}{10}\)[/tex].
- The entire thing can be expressed as [tex]\(8 \times \frac{1}{10}\)[/tex].
- This results in 8 as the total number of fractions, and [tex]\(\frac{8}{10}\)[/tex] as the sum.
Therefore, the total number of fractions is 8, and the sum [tex]\(\frac{8}{10}\)[/tex] is expressed as a multiple: [tex]\(8 \times \frac{1}{10}\)[/tex], which equals 0.8.
