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: Separate the whole numbers and the fractions. We have 1(5)/(16) + 3(3)/(4). Add the whole numbers: 1 + 3 = 4 Add the fractions: (5)/(16) + (3)/(4) Step 2: Find a common denominator for the fractions. The denominators are 16 and 4. The least common multiple of 16 and 4 is 16. Convert (3)/(4) to an equivalent fraction with a denominator of 16: (3)/(4) = (3 × 4)/(4 × 4) = (12)/(16) Step 3: Add the fractions with the common denominator. (5)/(16) + (12)/(16) = (5 + 12)/(16) = (17)/(16) Step 4: Convert the improper fraction to a mixed number. (17)/(16) = 1(1)/(16) Step 5: Combine the sum of the whole numbers and the sum of the fractions. 4 + 1(1)/(16) = (4 + 1) + (1)/(16) = 5 + (1)/(16) = 5(1)/(16) The fraction (1)/(16) is already in its simplest form. The final answer is 5(1)/(16). Send me the next one 📸