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: Convert the mixed numbers to improper fractions. To convert a mixed number a (b)/(c) to an improper fraction, use the formula ((a × c) + b)/(c). 3 (3)/(4) = ((3 × 4) + 3)/(4) = (12 + 3)/(4) = (15)/(4) 2 (3)/(16) = ((2 × 16) + 3)/(16) = (32 + 3)/(16) = (35)/(16) Step 2: Find a common denominator for the fractions. The denominators are 4 and 16. The least common multiple (LCM) of 4 and 16 is 16. Convert (15)/(4) to an equivalent fraction with a denominator of 16: (15)/(4) = (15 × 4)/(4 × 4) = (60)/(16) Now the expression is (60)/(16) + (35)/(16). Step 3: Add the fractions. Add the numerators while keeping the common denominator: (60)/(16) + (35)/(16) = (60 + 35)/(16) = (95)/(16) Step 4: Convert the improper fraction back to a mixed number. Divide the numerator (95) by the denominator (16). 95 ÷ 16 = 5 with a remainder of 95 - (16 × 5) = 95 - 80 = 15. So, the mixed number is 5 (15)/(16). The final answer is 5 (15)/(16). Send me the next one 📸