
(9-1 5/9×2 1/7):2 4/15


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To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, you don't have any parentheses, exponents, or addition/subtraction, so you just need to perform the multiplication and division from left to right.
Let's break down the expression step by step:
Start with the multiplication and division from left to right: 9 - 1 = 8 5/9 × 2 = 10/9 1/7 ÷ 2 = 1/14
Now, you have the following expression: (8 10/9 1/14) ÷ 2 4/15
Continue with the multiplication and division from left to right within the parentheses: 8 10/9 = 8 10/9
Now, the expression becomes: (8 10/9 1/14) ÷ 2 4/15
Perform the multiplication within the parentheses: 8 10/9 1/14 = (80/9) 1/14 = (80/9) ÷ 14
Now, the expression becomes: ((80/9) ÷ 14) ÷ 2 4/15
Continue with the division from left to right: (80/9) ÷ 14 = (80/9) ÷ (14/1) = (80/9) * (1/14) = (80/126)
Now, the expression becomes: (80/126) ÷ 2 4/15
Continue with the division from left to right: (80/126) ÷ 2 = (80/126) ÷ (2/1) = (80/126) * (1/2) = (40/126)
Now, the expression becomes: (40/126) 4/15
Finally, perform the multiplication: (40/126) * (4/15) = (160/630)
You can simplify the fraction further by finding the greatest common divisor (GCD) of 160 and 630, and then dividing both the numerator and denominator by the GCD:
GCD of 160 and 630 is 10.
Divide both numerator and denominator by 10: (160/10) / (630/10) = 16/63
So, the simplified result of the expression is 16/63.


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