Question

4 2/11-(3 15/33_2 13/22)

Answer 1

4 2/11-(3 15/33-2 13/22) = 46/11-(114/33-57/22) = 46/11- (228/66-171/66) = 46/11- 57/66 = 46/11-19/22 = 92/22-19/22 = 73/22 = 3 7/22

Answer 2

To perform the arithmetic operation with the expression you've provided, we'll 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).

Let's break down the expression step by step:

1. First, simplify the expressions within parentheses:

   3 15/33 - 2 13/22

   To subtract mixed numbers, we need to have the same denominator, so let's find a common denominator, which is the least common multiple (LCM) of 33 and 22. The LCM is 66.

   Convert the fractions to have a denominator of 66:

   (3 * 2) 30/66 - (2 * 3) 39/66

2. Now, subtract the fractions:

   (6 30/66) - (6 39/66)

   Subtract the whole numbers:

   6 - 6 = 0

   Subtract the fractions:

   30/66 - 39/66 = -9/66

3. Now, we have the simplified expression:

   0 - 9/66

4. Subtract 0 from -9/66:

   -9/66

5. To simplify further, you can reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

   (-9/3) / (66/3) = -3/22

So, the simplified result of the expression is -3/22.