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Comparing and Identifying Fractions on a Number Line

Directions: Using the digits 1 to 9, exactly one time each, place a digit in each box to create and place 4 fractions on the number line in the correct order. (fractions B & C are equal)

Hint

The sum of the equivalent fractions is greater than a half and greater than a quarter separate. How do you know if two fractions are equivalent? How do you know if fractions are less than or greater than another fraction?

Answer

There are many possible answers. Here are a couple: A = 1/7, B = 3/8, C = 9/24, D = 5/6; Another possibility is A = 1/5, B = 3/9, C = 8/24, D = 6/7; yet another possibility is A = 5/8, B = 3/4, C = 9/12 and D = 6/7. (or D could be 7/6)

Source: Graham Fletcher, Bowen Kerins, and Kate Nowak