Drill #20* Use the comparison property to determine which fraction is greater: 1. 5/9 and 6/11 2. 7/9 and 9/13 3. 15/17 and 17/19

Comparing three rational numbers To compare three rational numbers: Compare the 1st two numbers Compare the last two numbers If both (the 1st and last) numbers are bigger or both are smaller than the 2nd then you must compare the 1st and last Put the numbers in order from least to greatest Example:

Using the comparison property (#20*) Order the following rational numbers from least to greatest: 4. 5. 6.

Density Property for Rational Numbers ** (15.) Definition: Between every pair of distinct rational numbers, there are infinitely many rational numbers. Find a rational number ½ and ¾

Find a rational number between … To find a rational number between two rational numbers find the average of the two numbers: 1. Add the numbers (find a common denominator) 2. Divide by two

Find a rational number between …(#20*) 7. 8.

Find a rational number between whose denominator is … Find a rational number between ½ and ¼ whose denominator is 20. Two ways to solve: 1st First find the average. 2nd Convert the average to a number with the desired denominator 1st Convert both numbers into numbers over the desired denominator 2nd Find a number in between the two numerators

Find a rational number between whose denominator is … Find a rational number between ½ and ¼ whose denominator is 20. Two ways to solve: 1st First find the average. 2nd Convert the average to a number with the desired denominator OR 1st Convert both numbers into fractions with the desired denominator 2nd Find a number in between the two numerators

Find a rational number between …(#20*) 7. with a denominator of 12 8. with a denominator of 24