Questions: Part 1 - Solve Problems With Rational Numbers Question 24 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 19/20, 17/18 17/18, 19/20 19/20, 17/18 Question 25 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 7/12, 2/3 2/3, 7/12 7/12, 2/3

Solution Steps

To solve these problems, we need to compare the given pairs of rational numbers by converting them to a common denominator or by converting them to decimal form. Once converted, we can easily determine their order.

1. Convert \(\frac{19}{20}\) and \(\frac{17}{18}\) to decimal form.
2. Compare the decimal values to determine the increasing order.

1. Convert \(\frac{7}{12}\) and \(\frac{2}{3}\) to decimal form.
2. Compare the decimal values to determine the increasing order.

For each pair of rational numbers, convert them to decimal form to facilitate comparison.

• For \(\frac{19}{20}\), the decimal form is \(0.95\).

• For \(\frac{17}{18}\), the decimal form is approximately \(0.9444\).

• For \(\frac{7}{12}\), the decimal form is approximately \(0.5833\).

• For \(\frac{2}{3}\), the decimal form is approximately \(0.6667\).

Compare the decimal values to determine the order of the rational numbers.

• For \(\frac{19}{20}\) and \(\frac{17}{18}\):

  • \(0.9444 < 0.95\), so \(\frac{17}{18} < \frac{19}{20}\).

• For \(\frac{7}{12}\) and \(\frac{2}{3}\):

  • \(0.5833 < 0.6667\), so \(\frac{7}{12} < \frac{2}{3}\).

Final Answer