Using the numbers 5, 6, 7, 8 and 9 in order from smallest to largest togther with one of each of the symbols +, -, x, / and two pairs of braces to make a calculation with an answer of 25/8
To create a calculation using the numbers 5, 6, 7, 8, and 9, along with the symbols +, -, x, /, and two pairs of braces, where the result is 25/8, we can follow these steps:
Step 1: Determine the operations
Since we need to achieve the fractional result of 25/8, we know that we will need to use division (/) in our calculation.
Step 2: Place the numbers
Start by rearranging the numbers in ascending order: 5, 6, 7, 8, 9.
Step 3: Use braces for grouping
To manipulate the priority of operations, we can use braces to group numbers together. Let's place the two pairs of braces:
((5, 6, 7), 8, 9)
Step 4: Apply the operations
Now, let's insert the operations (+, -, x, /) inside the braces to get 25/8 as the final result. Remember to follow the order of operations, which is parentheses first, then multiplication/division, and finally addition/subtraction.
One possible solution:
(5 + 6 - 7) x 8 / 9 = 25/8
Explanation:
First, we have ((5, 6, 7), 8, 9), which means within the first pair of braces we need to use addition (+), subtraction (-), and parentheses to obtain a result.
Here's the breakdown:
Step 1: 5 + 6 = 11
Step 2: 11 - 7 = 4
Now, we have the expression (4, 8, 9), which means we need to perform multiplication (x), division (/), and another pair of braces.
Step 3: 4 x 8 = 32
Step 4: 32 / 9 = 25/8
Therefore, the calculation ((5 + 6 - 7) x 8) / 9 equals 25/8.