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
Step 1: Understand the question. The question asks: "What should be added to (8)/(14) to get (-2)/(7)?" Let the number to be added be x. So, we can write the equation: (8)/(14) + x = (-2)/(7) Step 2: Simplify the initial fraction (8)/(14). Both 8 and 14 are divisible by 2. (8)/(14) = (8 ÷ 2)/(14 ÷ 2) = (4)/(7) Now the equation becomes: (4)/(7) + x = (-2)/(7) Step 3: Isolate x by subtracting (4)/(7) from both sides of the equation. x = (-2)/(7) - (4)/(7) Step 4: Perform the subtraction. Since the denominators are already the same, subtract the numerators. x = (-2 - 4)/(7) x = (-6)/(7) The number that should be added is (-6)/(7). Last free one today — make it count tomorrow, or type /upgrade for unlimited.