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
To find the fraction that comes after (3)/(4) on the number line, we need to compare the given fractions with (3)/(4) and 1. The fractions available are (1)/(3), (7)/(8), (1)/(4), (1)/(5), (6)/(8). Step 1: Convert (3)/(4) and 1 to a common denominator, such as 8, or to decimals. (3)/(4) = (3 × 2)/(4 × 2) = (6)/(8) 1 = (8)/(8) So we are looking for a fraction x such that (6)/(8) < x < (8)/(8). Step 2: Evaluate the given fractions: (1)/(3): This is approximately 0.333, which is less than (3)/(4) (0.75). (7)/(8): This is 0.875. Comparing with (3)/(4) = (6)/(8): (6)/(8) < (7)/(8) Comparing with 1 = (8)/(8): (7)/(8) < (8)/(8) So, (7)/(8) fits the condition (3)/(4) < (7)/(8) < 1. (1)/(4): This is (2)/(8), which is less than (3)/(4). (1)/(5): This is 0.2, which is less than (3)/(4). (6)/(8): This fraction is equal to (3)/(4), not after it. Step 3: Identify the fraction that fits the position. From the comparison, (7)/(8) is the only fraction from the list that is greater than (3)/(4) and less than 1. The fraction that comes after (3)/(4) on the number line is (7)/(8). That's 2 down. 3 left today — send the next one.