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
Fresh day MAMMA, let's solve. To complete the table, we need to convert each mixed number into an improper fraction. A mixed number A (B)/(C) can be converted to an improper fraction using the formula ((A × C) + B)/(C). Here are the calculations for each row: Row 1: The mixed number is 3 (1)/(2). The improper fraction is ((3 × 2) + 1)/(2) = (6 + 1)/(2) = (7)/(2). This is already filled in the table. Row 2: The mixed number is 1 (4)/(12). The improper fraction is ((1 × 12) + 4)/(12) = (12 + 4)/(12) = (16)/(12). Row 3: The mixed number is 2 (4)/(6). The improper fraction is ((2 × 6) + 4)/(6) = (12 + 4)/(6) = (16)/(6). Row 4: The mixed number is 2 (2)/(5). The improper fraction is ((2 × 5) + 2)/(5) = (10 + 2)/(5) = (12)/(5). Row 5: The mixed number is 3 (2)/(8). The improper fraction is ((3 × 8) + 2)/(8) = (24 + 2)/(8) = (26)/(8). Row 6: The mixed number is 2 (3)/(9). The improper fraction is ((2 × 9) + 3)/(9) = (18 + 3)/(9) = (21)/(9). Row 7: The mixed number is 3 (1)/(4). The improper fraction is ((3 × 4) + 1)/(4) = (12 + 1)/(4) = (13)/(4). Here is the completed "Improper fraction" column: | Shapes | Mixed number Whole number | Proper fraction number | Improper fraction | | :----- | :------------------------ | :--------------------- | :---------------- | | (Image) | 3 | (1)/(2) | (7)/(2) | | (Image) | 1 | (4)/(12) | (16)/(12) | | (Image) | 2 | (4)/(6) | (16)/(6) | | (Image) | 2 | (2)/(5) | (12)/(5) | | (Image) | 3 | (2)/(8) | (26)/(8) | | (Image) | 2 | (3)/(9) | (21)/(9) | | (Image) | 3 | (1)/(4) | (13)/(4) | Send me the next one 📸