
( 18 2/3+2 1/8)-( 13-8 5/9)


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To calculate the expression (18 2/3 + 2 1/8) - (13 - 8 5/9), you should follow these steps:
Step 1: Add the mixed numbers inside the parentheses:
18 2/3 + 2 1/8: To add mixed numbers, first add the whole numbers, then add the fractions.
18 + 2 = 20 (whole numbers) 2/3 + 1/8 = (16/24 + 3/24) = 19/24
So, 18 2/3 + 2 1/8 = 20 19/24
Step 2: Calculate the subtraction inside the parentheses:
13 - 8 5/9: To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions.
13 - 8 = 5 (whole numbers) 0/1 - 5/9 = -5/9
So, 13 - 8 5/9 = 5 - 5/9
Step 3: Now, you have the expression (20 19/24) - (5 - 5/9).
Step 4: Subtract the second result from the first result:
20 19/24 - (5 - 5/9)
To subtract, you need to change the subtraction to addition by taking the opposite (negation) of the second expression and then adding it:
20 19/24 + (-(5 - 5/9))
Now, negate (5 - 5/9) by making it positive:
20 19/24 + (5/9 - 5)
To add these, you need to find a common denominator:
The common denominator for 24 and 9 is 72.
20 19/24 + (40/72 - 360/72)
Now, add:
20 19/24 + (-320/72)
To add mixed numbers, you first add the whole numbers:
20 - 0 = 20 (whole numbers)
Now, add the fractions:
19/24 - 320/72: To add these fractions, you need a common denominator, which is 72.
(19/24) * (3/3) = 57/72 (320/72)
Now subtract:
20 + (57/72 - 320/72) = 20 - 263/72
To simplify the result:
20 - 263/72
To make it more understandable, you can express this as a mixed number:
19 11/72
So, the final result is 19 11/72.


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