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: Calculate the numerator. 0.36 × 2.4 Multiply 36 × 24: 36 × 20 = 720 36 × 4 = 144 720 + 144 = 864 Since there are two decimal places in 0.36 and one in 2.4, there will be 2+1=3 decimal places in the product. So, 0.36 × 2.4 = 0.864. Step 2: Calculate the denominator. 0.9 × 0.6 Multiply 9 × 6 = 54. Since there is one decimal place in 0.9 and one in 0.6, there will be 1+1=2 decimal places in the product. So, 0.9 × 0.6 = 0.54. Step 3: Divide the numerator by the denominator. (0.864)/(0.54) To simplify the division, we can multiply both the numerator and the denominator by 1000 to remove the decimals. (0.864 × 1000)/(0.54 × 1000) = (864)/(540) We can simplify this fraction. Both are divisible by 10: (86.4)/(54) Now, perform the division: 86.4 ÷ 54 86 ÷ 54 = 1 with a remainder of 32 Bring down the 4, making it 324. 324 ÷ 54 = 6 So, 86.4 ÷ 54 = 1.6. Alternatively, we can write: (0.864)/(0.54) = (864)/(540) Divide both by 10: (86.4)/(54) Divide 86.4 by 54: 54 × 1 = 54 86.4 - 54 = 32.4 54 × 0.6 = 32.4 So, 1 + 0.6 = 1.6. The final answer is 1.6.