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
Hey Ngoh, good to see you again. Step 1: Convert all mixed numbers to improper fractions. 3(1)/(2) = ((3 × 2) + 1)/(2) = (7)/(2) 1(1)/(8) = ((1 × 8) + 1)/(8) = (9)/(8) Step 2: Substitute these into the expression and perform the multiplication ("of") first. 3(1)/(2) + ((3)/(4) of 3(1)/(2)) + 1(1)/(8) = (7)/(2) + ((3)/(4) × (7)/(2)) + (9)/(8) (7)/(2) + ((3 × 7)/(4 × 2)) + (9)/(8) = (7)/(2) + (21)/(8) + (9)/(8) Step 3: Find a common denominator for all fractions, which is 8. Convert (7)/(2) to have a denominator of 8. (7)/(2) = (7 × 4)/(2 × 4) = (28)/(8) Step 4: Add the fractions. (28)/(8) + (21)/(8) + (9)/(8) = (28 + 21 + 9)/(8) (58)/(8) Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. (58 ÷ 2)/(8 ÷ 2) = (29)/(4) Step 6: Convert the improper fraction to a mixed number. (29)/(4) = 7(1)/(4) The simplified expression is 7(1)/(4). Send me the next one 📸