To simplify this expression, we need to follow the order of operations (PEMDAS).
Step 1: Simplify the division inside the parentheses first.(-9/65) ÷ (50/303) = (-9/65) (303/50)= (-9303) / (65*50)= -2727 / 3250
Step 2: Now, multiply the result from step 1 by 26/27 and add (-100/101).26/27 (-2727/3250) + (-100/101) = (26-2727) / (27*3250) + (-100/101)= -70842 / 87750 - 100/101
Step 3: Find a common denominator for the two fractions.-70842 / 87750 = -(70842 101) / (87750 101)= -7152582 / 8865750
Step 4: Combine the fractions.-7152582 / 8865750 - 100/101 = (-7152582101) / (8865750101) - 100/101= -722811942 / 895441750 - 100/101
Therefore, the final expression simplifies to:-722811942 / 895441750 - 100/101
To simplify this expression, we need to follow the order of operations (PEMDAS).
Step 1: Simplify the division inside the parentheses first.
(-9/65) ÷ (50/303) = (-9/65) (303/50)
= (-9303) / (65*50)
= -2727 / 3250
Step 2: Now, multiply the result from step 1 by 26/27 and add (-100/101).
26/27 (-2727/3250) + (-100/101) = (26-2727) / (27*3250) + (-100/101)
= -70842 / 87750 - 100/101
Step 3: Find a common denominator for the two fractions.
-70842 / 87750 = -(70842 101) / (87750 101)
= -7152582 / 8865750
Step 4: Combine the fractions.
-7152582 / 8865750 - 100/101 = (-7152582101) / (8865750101) - 100/101
= -722811942 / 895441750 - 100/101
Therefore, the final expression simplifies to:
-722811942 / 895441750 - 100/101