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: Convert the mixed numbers to improper fractions. -7(3)/(4) = -((7 × 4) + 3)/(4) = -(28+3)/(4) = -(31)/(4) 4(1)/(4) = ((4 × 4) + 1)/(4) = (16+1)/(4) = (17)/(4) Step 2: Simplify the expression inside the parentheses. 37 - 1 = 36 Step 3: Rewrite the expression with the converted fractions and simplified parentheses. -(31)/(4) - (17)/(4) ÷ 36 Step 4: Perform the division. Dividing by a number is the same as multiplying by its reciprocal. (17)/(4) ÷ 36 = (17)/(4) × (1)/(36) = (17 × 1)/(4 × 36) = (17)/(144) Step 5: Rewrite the expression with the result of the division. -(31)/(4) - (17)/(144) Step 6: Find a common denominator to subtract the fractions. The least common multiple of 4 and 144 is 144. Convert -(31)/(4) to a fraction with a denominator of 144. -(31)/(4) = -(31 × 36)/(4 × 36) = -(1116)/(144) Step 7: Perform the subtraction. -(1116)/(144) - (17)/(144) = (-1116 - 17)/(144) = (-1133)/(144) Step 8: Convert the improper fraction back to a mixed number. (-1133)/(144) = -7 (1133 - (7 × 144))/(144) = -7 (1133 - 1008)/(144) = -7 (125)/(144) -(1133)/(144) The final answer is -7(125)/(144). Got more? Send 'em 📸