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Evaluate the expression: 74 ÷ 85 ÷ 49 - (41 - 35 ÷ 9 × 2)
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Step-by-step solution
3 stepsHere's how to solve the expression step-by-step using the order of operations (BODMAS/PEMDAS):
The expression is interpreted as:
Evaluate the expression inside the parentheses .
Within the parentheses, perform division and multiplication from left to right.
First, perform the division:Substitute this back:
Next, perform the multiplication:
Substitute this back:
Now, perform the subtraction. To do this, find a common denominator:
So, the expression inside the parentheses becomes:
Evaluate the first part of the main expression
.
Perform division from left to right.
First, :Next, divide this result by 49:
Calculate the product in the denominator:
So, the first part of the expression is .
Substitute the results from Step 1 and Step 2 back into the main expression and perform the final subtraction.
The expression is now:
To subtract these fractions, find a common denominator, which is the product of the denominators: .
Convert the first fraction:Convert the second fraction:
Now, perform the subtraction:
So, the final result is:
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