Let's convert each of the mixed numbers to decimal form step-by-step:
### Step 1: Convert 8 [tex]\(\frac{3}{8}\)[/tex] and 7 [tex]\(\frac{1}{5}\)[/tex]
1. 8 [tex]\(\frac{3}{8}\)[/tex]:
- Whole number: 8
- Fractional part: [tex]\(\frac{3}{8}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
8 \frac{3}{8} = 8 + \frac{3}{8} = 8 + 0.375 = 8.375
\][/tex]
2. 7 [tex]\(\frac{1}{5}\)[/tex]:
- Whole number: 7
- Fractional part: [tex]\(\frac{1}{5}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
7 \frac{1}{5} = 7 + \frac{1}{5} = 7 + 0.2 = 7.2
\][/tex]
### Step 2: Convert 10 [tex]\(\frac{2}{8}\)[/tex] and 4 [tex]\(\frac{2}{6}\)[/tex]
1. 10 [tex]\(\frac{2}{8}\)[/tex]:
- Whole number: 10
- Fractional part: [tex]\(\frac{2}{8}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
10 \frac{2}{8} = 10 + \frac{2}{8} = 10 + 0.25 = 10.25
\][/tex]
2. 4 [tex]\(\frac{2}{6}\)[/tex]:
- Whole number: 4
- Fractional part: [tex]\(\frac{2}{6}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
4 \frac{2}{6} = 4 + \frac{2}{6} = 4 + \frac{1}{3} \approx 4 + 0.3333 = 4.3333
\][/tex]
### Step 3: Convert 4 [tex]\(\frac{2}{4}\)[/tex] and 2 [tex]\(\frac{1}{3}\)[/tex]
1. 4 [tex]\(\frac{2}{4}\)[/tex]:
- Whole number: 4
- Fractional part: [tex]\(\frac{2}{4}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
4 \frac{2}{4} = 4 + \frac{2}{4} = 4 + 0.5 = 4.5
\][/tex]
2. 2 [tex]\(\frac{1}{3}\)[/tex]:
- Whole number: 2
- Fractional part: [tex]\(\frac{1}{3}\)[/tex]
To convert this to a decimal, we use:
[tex]\[
2 \frac{1}{3} = 2 + \frac{1}{3} \approx 2 + 0.3333 = 2.3333
\][/tex]
### Final results:
- The decimal equivalents for the mixed numbers in each row are:
- First row: [tex]\(8.375\)[/tex] and [tex]\(7.2\)[/tex]
- Second row: [tex]\(10.25\)[/tex] and [tex]\(4.3333\)[/tex]
- Third row: [tex]\(4.5\)[/tex] and [tex]\(2.3333\)[/tex]
Hence, we have:
[tex]\[
\begin{array}{ rr}
8 \frac{3}{8} = 8.375 & 7 \frac{1}{5} \approx 7.2 \\
10 \frac{2}{8} = 10.25 & 4 \frac{2}{6} \approx 4.3333 \\
4 \frac{2}{4} = 4.5 & 2 \frac{1}{3} \approx 2.3333 \\
\end{array}
\][/tex]
