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
No problem, Olawole! Let's subtract these fractions. To subtract fractions, we first need a common denominator. Step 1: Find the least common multiple (LCM) of the denominators 10 and 15. The LCM of 10 and 15 is 30. Step 2: Convert each fraction to an equivalent fraction with the denominator 30. For (7)/(10): Multiply the numerator and denominator by 3. (7)/(10) = (7 × 3)/(10 × 3) = (21)/(30) For (4)/(15): Multiply the numerator and denominator by 2. (4)/(15) = (4 × 2)/(15 × 2) = (8)/(30) Step 3: Subtract the new fractions. (21)/(30) - (8)/(30) = (21 - 8)/(30) = (13)/(30) Step 4: The fraction (13)/(30) cannot be simplified further because 13 is a prime number and 30 is not a multiple of 13. The final answer is (13)/(30). That's 2 down. 3 left today — send the next one.