Solving the Equation: 2 1/4 + y = 5 3/4
To solve the equation, we need to follow the correct order of operations and manipulate the mixed numbers to reach the solution.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
2 1/4 = 9/4 5 3/4 = 23/4
Now, the equation becomes:
9/4 + y = 23/4
Step 2: Get a Common Denominator
Since both fractions have a denominator of 4, we can proceed to the next step.
Step 3: Isolate the Variable
Subtract 9/4 from both sides of the equation to isolate the variable y:
y = 23/4 - 9/4
Step 4: Simplify the Fraction
Combine the fractions:
y = 14/4
Step 5: Simplify the Answer
Divide the numerator by the denominator to get the simplified answer:
y = 3 1/2
Therefore, the value of y is 3 1/2.
