-x-(5-1%2F2---9-1%2F4).jpeg "(-1 3/4 - 2 3/4) X (5 1/2 - 9 1/4)")
Evaluating the Expression: (-1 3/4 - 2 3/4) x (5 1/2 - 9 1/4)
In this article, we will evaluate the expression (-1 3/4 - 2 3/4) x (5 1/2 - 9 1/4) step by step.
Step 1: Evaluating the expressions inside the parentheses
First, let's evaluate the expressions inside the parentheses:
-1 3/4 - 2 3/4
To evaluate this expression, we need to subtract 2 3/4 from -1 3/4. To do this, we can convert both mixed numbers to improper fractions:
-1 3/4 = -7/4
2 3/4 = 11/4
Now, we can subtract:
-7/4 - 11/4 = -18/4
Simplifying the fraction, we get:
-18/4 = -9/2
So, -1 3/4 - 2 3/4 = -9/2.
Step 2: Evaluating the second expression inside the parentheses
Now, let's evaluate the second expression inside the parentheses:
5 1/2 - 9 1/4
Converting both mixed numbers to improper fractions, we get:
5 1/2 = 11/2
9 1/4 = 37/4
Now, we can subtract:
11/2 - 37/4
To subtract these fractions, we need to find a common denominator, which is 4:
11/2 = 22/4
37/4 = 37/4
Now, we can subtract:
22/4 - 37/4 = -15/4
Simplifying the fraction, we get:
-15/4
So, 5 1/2 - 9 1/4 = -15/4.
Step 3: Evaluating the final expression
Now that we have evaluated the expressions inside the parentheses, we can multiply them together:
(-9/2) x (-15/4)
To multiply fractions, we multiply the numerators and denominators separately:
(-9) x (-15) = 135
(2) x (4) = 8
So, the final answer is:
135/8
Therefore, the final result of the expression (-1 3/4 - 2 3/4) x (5 1/2 - 9 1/4) is 135/8.
