7 1/2 divided by (4 1/2 - 5 1/8)
In this article, we will solve the mathematical problem of dividing 7 1/2 by the expression (4 1/2 - 5 1/8). To do this, we will follow the order of operations (PEMDAS) and break down the problem step by step.
Step 1: Simplify the expression inside the parentheses
First, let's simplify the expression inside the parentheses:
4 1/2 - 5 1/8
To subtract these two mixed numbers, we need to convert them to improper fractions:
4 1/2 = 9/2 5 1/8 = 41/8
Now, we can subtract:
9/2 - 41/8 = (-16 - 41) / 8 = -57/8
So, the expression inside the parentheses is equal to -57/8.
Step 2: Divide 7 1/2 by the result
Now, we can divide 7 1/2 by the result:
7 1/2 ÷ (-57/8)
First, let's convert 7 1/2 to an improper fraction:
7 1/2 = 15/2
Now, we can divide:
(15/2) ÷ (-57/8) = (15 × 8) / (2 × -57) = 120 / -114
Step 3: Simplify the result
Finally, we can simplify the result:
120 / -114 = -20/19
So, the final answer is:
7 1/2 divided by (4 1/2 - 5 1/8) = -20/19
I hope this helps! Let me know if you have any questions.
