Arrange these fraction words in order of size from the smallest to the biggest: One and a half, three quarters, one and a quarter, half, quarter, two and a half.
Fraction Values: Quarter = 1/4 Half = 1/2 Three quarters = 3/4 One and a quarter = 1 1/4 = 5/4 One and a half = 1 1/2 = 3/2 Two and a half = 2 1/2 = 5/2
Answer (from smallest to biggest): Quarter (1/4) < Half (1/2) < Three quarters (3/4) < One and a quarter (1 1/4) < One and a half (1 1/2) < Two and a half (2 1/2)
Explanation
The chapter explains that fractions can be compared by their values. Quarter means 1/4, half means 1/2, three quarters means 3/4, one and a quarter means 1 1/4 = 5/4, one and a half means 1 1/2 = 3/2, and two and a half means 2 1/2 = 5/2. Arranging from smallest to biggest based on these values gives the correct order.
Solution Steps
Convert each fraction word to its numerical value.
Quarter = 1/4, Half = 1/2, Three quarters = 3/4
One and a quarter = 1 1/4 = 5/4, One and a half = 1 1/2 = 3/2, Two and a half = 2 1/2 = 5/2
Compare all values and arrange from smallest to biggest.
Quarter (1/4) < Half (1/2) < Three quarters (3/4) < One and a quarter (1 1/4) < One and a half (1 1/2) < Two and a half (2 1/2)