Question

1. identify repeated reasoning the table shows statistics about the students at carter junior high. a. express the fraction of students with no siblings as a decimal. b. find the decimal equivalent for the fraction of students with three siblings. c. write the fraction of students with one sibling as a decimal. round to the nearest thousandth. d. write the fraction of students with two siblings as a decimal. round to the nearest thousandth. number of siblings: none, one, two, three, four or more; fraction of students: \\(\frac{1}{15}\\), \\(\frac{1}{3}\\), \\(\frac{5}{12}\\), \\(\frac{1}{6}\\), \\(\frac{1}{60}\\)

Explanation:

Part a

Step1: Divide 1 by 15

To convert the fraction \(\frac{1}{15}\) to a decimal, we perform the division \(1\div15\).
\(1\div15 = 0.066\cdots\) (where the 6 repeats)

Step1: Divide 1 by 6

To convert the fraction \(\frac{1}{6}\) to a decimal, we perform the division \(1\div6\).
\(1\div6= 0.166\cdots\) (where the 6 repeats)

Step1: Divide 1 by 3

To convert the fraction \(\frac{1}{3}\) to a decimal, we perform the division \(1\div3\).
\(1\div3 = 0.333\cdots\)

Step2: Round to nearest thousandth

The decimal \(0.333\cdots\) rounded to the nearest thousandth is \(0.333\) (since the fourth decimal place is also 3, which is less than 5, so we don't round up the third decimal place).

Answer:

\(0.0\overline{6}\) (or approximately \(0.067\) if rounded, but the exact repeating decimal is \(0.0\overline{6}\))

Part b