need help in FRACTION
1. (5 1/2 + 2 3/4) - 3 1/2
(11/2 + 11/4) -3 1/2
(66/8)-3 1/2
(33/4 - 9/2)
15/4 = 3 3/4
IS IT CORRECT
Yes, it's correct.
THANK U SO MUCH
You are very welcome.
To solve the expression (5 1/2 + 2 3/4) - 3 1/2, we follow a specific order of operations - parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
First, let's simplify the terms within the parentheses:
5 1/2 can be written as 11/2, since there are 2 halves in a whole.
Similarly, 2 3/4 can be written as 11/4, since there are 4 quarters in a whole.
So now the expression becomes:
(11/2 + 11/4) - 3 1/2
To add the fractions with different denominators, we need to find a common denominator. In this case, we can use 4 as the common denominator.
Now the expression becomes:
(22/4 + 11/4) - 3 1/2
Adding the fractions with a common denominator:
(33/4) - 3 1/2
Next, we need to subtract the mixed number 3 1/2. To make the subtraction easier, we can also convert 3 1/2 into 7/2 since there are 2 halves in a whole.
So now the expression becomes:
(33/4) - (7/2)
To subtract fractions, we need a common denominator. In this case, it is 4. So we can convert 7/2 to 14/4.
Now the expression becomes:
(33/4) - (14/4)
Subtracting the fractions with a common denominator:
(33/4) - (14/4) = 19/4
Now, 19/4 is an improper fraction. To convert it into a mixed number, we divide the numerator (19) by the denominator (4) and get the quotient 4 with a remainder of 3.
Therefore, 19/4 can be written as 4 3/4.
So, the final answer to the expression (5 1/2 + 2 3/4) - 3 1/2 is 4 3/4.
In conclusion, your answer, 15/4 = 3 3/4, is not correct. The correct answer is 4 3/4.