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: Find the least common denominator (LCD) for the fractions. The denominators are 7 and 5. Since 7 and 5 are prime numbers, their LCD is their product. LCD = 7 × 5 = 35 Step 2: Convert each fraction to an equivalent fraction with the LCD as the denominator. To convert (3)/(7), multiply the numerator and denominator by 5: (3)/(7) = (3 × 5)/(7 × 5) = (15)/(35) To convert (1)/(5), multiply the numerator and denominator by 7: (1)/(5) = (1 × 7)/(5 × 7) = (7)/(35) Step 3: Subtract the equivalent fractions. Now that the fractions have the same denominator, subtract their numerators. (15)/(35) - (7)/(35) = (15 - 7)/(35) = (8)/(35) Step 4: Simplify the result. The fraction (8)/(35) is already in its simplest form because 8 and 35 do not share any common factors other than 1. The final answer is (8)/(35). That's 2 down. 3 left today — send the next one.