To convert the given fractions to decimals, we'll follow these steps:
1. Convert Sam's fraction to a decimal:
- Sam ran [tex]\(\frac{2}{3}\)[/tex] of a mile.
- To convert [tex]\(\frac{2}{3}\)[/tex] to a decimal, divide the numerator (2) by the denominator (3):
[tex]\[
\frac{2}{3} = 0.6666666666666666 \text{ (repeating)}
\][/tex]
So, Sam ran approximately [tex]\(0.6667\)[/tex] miles.
2. Convert Khalid's fraction to a decimal:
- Khalid ran [tex]\(\frac{3}{5}\)[/tex] of a mile.
- To convert [tex]\(\frac{3}{5}\)[/tex] to a decimal, divide the numerator (3) by the denominator (5):
[tex]\[
\frac{3}{5} = 0.6
\][/tex]
So, Khalid ran [tex]\(0.6\)[/tex] miles.
3. Convert Lew's fraction to a decimal:
- Lew ran [tex]\(\frac{11}{16}\)[/tex] of a mile.
- To convert [tex]\(\frac{11}{16}\)[/tex] to a decimal, divide the numerator (11) by the denominator (16):
[tex]\[
\frac{11}{16} = 0.6875
\][/tex]
So, Lew ran [tex]\(0.6875\)[/tex] miles.
In conclusion, the decimal equivalents for each person's running distance are as follows:
- Sam: [tex]\(\frac{2}{3}\)[/tex] mile [tex]\(= 0.6666666666666666\)[/tex] mile
- Khalid: [tex]\(\frac{3}{5}\)[/tex] mile [tex]\(= 0.6\)[/tex] mile
- Lew: [tex]\(\frac{11}{16}\)[/tex] mile [tex]\(= 0.6875\)[/tex] mile
