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
Here are the solutions for the "CLASSWORK" section: Step 1: For part (a), we need to express 1 whole in terms of quarters. One whole is equivalent to a fraction where the numerator and denominator are the same. Since we want quarters, the denominator is 4. 1 whole = (4)/(4) So, 1 whole is 4 quarters. Step 2: For part (b), we need to express 1 half in terms of quarters. We have (1)/(2). To change the denominator to 4, we multiply both the numerator and denominator by 2. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) So, 1 half is 2 quarters. Step 3: For part (c), we need to express 1 whole in terms of eighths. Similar to Step 1, 1 whole with a denominator of 8 is (8)/(8). 1 whole = (8)/(8) So, 1 whole is 8 eighths. Step 4: For part (d), we need to express 1 half in terms of eighths. We have (1)/(2). To change the denominator to 8, we multiply both the numerator and denominator by 4. (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) So, 1 half is 4 eighths. Step 5: For part (e), we need to express 1 quarter in terms of eighths. We have (1)/(4). To change the denominator to 8, we multiply both the numerator and denominator by 2. (1)/(4) = (1 × 2)/(4 × 2) = (2)/(8) So, 1 quarter is 2 eighths. Step 6: For part (f), we need to express 1 whole in terms of halves. Similar to Step 1, 1 whole with a denominator of 2 is (2)/(2). 1 whole = (2)/(2) So, 1 whole is 2 halves. The completed answers are: a) 1 whole = 4 quarters b) 1 half = 2 quarters c) 1 whole = 8 eighths d) 1 half = 4 eighths e) 1 quarter = 2 eighths f) 1 whole = 2 halves That's 2 down. 3 left today — send the next one.