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
You're on a roll — To arrange fractions in ascending order, we need to compare their values. We can do this by finding a common denominator for all fractions. Step 1: Identify the given fractions. The fractions are (2)/(5), (1)/(2), (3)/(8), (3)/(10). Step 2: Find the least common multiple (LCM) of the denominators. The denominators are 5, 2, 8, and 10. The LCM of 5, 2, 8, 10 is 40. Step 3: Convert each fraction to an equivalent fraction with the common denominator of 40. For (2)/(5): (2)/(5) = (2 × 8)/(5 × 8) = (16)/(40) For (1)/(2): (1)/(2) = (1 × 20)/(2 × 20) = (20)/(40) For (3)/(8): (3)/(8) = (3 × 5)/(8 × 5) = (15)/(40) For (3)/(10): (3)/(10) = (3 × 4)/(10 × 4) = (12)/(40) Step 4: Compare the numerators of the equivalent fractions. The equivalent fractions are (16)/(40), (20)/(40), (15)/(40), (12)/(40). Arranging the numerators in ascending order: 12, 15, 16, 20. Step 5: Write the original fractions in ascending order. Corresponding to the ordered numerators, the fractions in ascending order are: (12)/(40) = (3)/(10) (15)/(40) = (3)/(8) (16)/(40) = (2)/(5) (20)/(40) = (1)/(2) The fractions in ascending order are: (3)/(10), (3)/(8), (2)/(5), (1)/(2) Got more? Send 'em!