Question

9, 8:(10-3 3/15)*1 1/27

Answer 1

=49/5:(10-3×1/5)×11/27=49/5:47/5×11/27=49×1/47×11/27=539/1269

Answer 2

To solve the expression 9, 8:(10-3 3/15)*1 1/27, let's break it down step by step:

Step 1: Perform the operation inside the parentheses. 10 - 3 3/15 First, convert the mixed fraction to an improper fraction: 3 3/15 = (3 * 15 + 3) / 15 = 48/15 Now, perform the subtraction: 10 - 48/15 = (10 * 15 - 48) / 15 = (150 - 48) / 15 = 102 / 15

Step 2: Perform the division. 8: (102/15) To divide by a fraction, we multiply by its reciprocal (invert and multiply): 8 * (15/102) = (8 * 15) / 102 = 120 / 102 = 20/17

Step 3: Perform the multiplication. (20/17) * 1 1/27 Convert the mixed fraction to an improper fraction: 1 1/27 = (1 * 27 + 1) / 27 = 28/27 Now, perform the multiplication: (20/17) * (28/27) = (20 * 28) / (17 * 27) = 560 / 459

Finally, we have the result of the expression: 9, 560/459