This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the problems from the image: a. Arrange in ascending order. Step 1: List the given fractions: (2)/(5), (6)/(10), (7)/(20), (1)/(2), (3)/(4). Step 2: Find the least common denominator (LCD) for all fractions. The denominators are 5, 10, 20, 2, 4. The LCD is 20. Step 3: Convert each fraction to an equivalent fraction with a denominator of 20. (2)/(5) = (2 × 4)/(5 × 4) = (8)/(20) (6)/(10) = (6 × 2)/(10 × 2) = (12)/(20) (7)/(20) = (7)/(20) (1)/(2) = (1 × 10)/(2 × 10) = (10)/(20) (3)/(4) = (3 × 5)/(4 × 5) = (15)/(20) Step 4: Arrange the fractions in ascending order by comparing their numerators: 7, 8, 10, 12, 15. (7)/(20), (8)/(20), (10)/(20), (12)/(20), (15)/(20) Step 5: Write the original fractions in ascending order. (7)/(20), (2)/(5), (1)/(2), (6)/(10), (3)/(4) b. Say if > < or = b.1 (5)/(2) 4(1)/(2) Step 1: Convert both numbers to decimals or improper fractions. (5)/(2) = 2.5 4(1)/(2) = 4.5 Step 2: Compare the decimal values. 2.5 < 4.5 The symbol is <. b.2 (4)/(5) (9)/(5) Step 1: Compare the numerators since the denominators are the same. 4 < 9 The symbol is <. b.3 $2(7)/(10)