Answer:
2.4 or 2 2/5
Step-by-step explanation:
1. Creating the Equation
This problem is meant to have you work backwards from the information given. In this case, there is no reason to organize information, as this is not a word problem.
Instead, a simpler approach would be to replace the blank space with the variable x.
Once x replaces the blank space, the equation should appear as shown:
x + 1 1/10 = 3 1/2
2. Solving for x
Now that the equation was created, use the order of operations to solve for x.
Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.
x + 11/10 = 7/2
Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.
x + 11/10 = 7/2
x + 11/10 = 5/5(7/2)
x + 11/10 = 35/10
Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.
x + 11/10 = 35/10
x + 11/10 - 11/10 = 35/10 - 11/10
x = 24/10
x = 2 4/10
(Simplify the fraction if needed)
x = 2 2/5
As said earlier, x was meant to represent the final answer.
x + 1 1/10 = 3 1/2
x = 2 2/5
2 2/5 + 1 1/10 = 3 1/2
