-7/8 + 5 1/2 x 11/15
In order of operations do I do 5 1/2 x 11/15 and then add the -7/8?
Since no parentheses are (but should be) shown, I would perform operations from left to right.
(-7/8 + 5 1/2) x (11/15) = 3.3917
This will not give the same answer as
-7/8 + (5 1/2 x 11/15)= -3.529
Are you trying to say this disproves the Associative property? because the associative property is only if the operation contains all and ONLY addition signs or all and ONLY multiplication signs. Not if it contains both.
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To simplify the expression -7/8 + 5 1/2 x 11/15, you need to follow the order of operations, also known as PEMDAS.
1. Parentheses: There are no parentheses in this expression, so you can skip this step.
2. Exponents: There are no exponents in this expression, so you can skip this step.
3. Multiplication and Division: Here, you have 5 1/2 x 11/15. To multiply fractions, multiply the numerators together and multiply the denominators together. The result is:
(11/2) x (11/15) = (11 * 11) / (2 * 15) = 121/30
4. Addition and Subtraction: Now, add -7/8 to 121/30. To add fractions, the denominators must be the same. The least common multiple (LCM) of 8 and 30 is 120. So, we need to rewrite the fractions:
-7/8 = -105/120
121/30 = 484/120
Now, we can add them together:
-105/120 + 484/120 = ( -105 + 484 ) / 120 = 379/120
Therefore, the simplified answer is 379/120.