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 Philip, let's solve. To express percentages and fractions as decimal numbers using long division, we first convert percentages to fractions with a denominator of 100, then perform the division. a) 42% Step 1: Convert the percentage to a fraction. 42\% = (42)/(100) Step 2: Perform long division of 42 by 100. r 0.42 \\ 100 ) 42.00 \\ -0 \\ 420 \\ -400 \\ 200 \\ -200 \\ 0 The decimal representation of 42% is 0.42. b) 60% Step 1: Convert the percentage to a fraction. 60\% = (60)/(100) Step 2: Perform long division of 60 by 100. r 0.60 \\ 100 ) 60.00 \\ -0 \\ 600 \\ -600 \\ 00 \\ -00 \\ 0 The decimal representation of 60% is 0.60. c) 4/7 Step 1: Perform long division of 4 by 7. r 0.571428... \\ 7 ) 4.000000 \\ -0 \\ 40 \\ -35 \\ 50 \\ -49 \\ 10 \\ -7 \\ 30 \\ -28 \\ 20 \\ -14 \\ 60 \\ -56 \\ 4 The division results in a repeating decimal. The decimal representation of 4/7 is 0.571428. Send me the next one 📸