Solve the Equation: a + 2½ = 4 | Mixed Number Addition

Question

a+212=4 a+2\frac{1}{2}=4

a=? a=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's isolate variable A and calculate
00:07 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the mixed number 2122\frac{1}{2} to an improper fraction.
  • Step 2: Subtract 2122\frac{1}{2} from both sides of the equation to isolate aa.
  • Step 3: Simplify the result to find the value of aa.

Now, let's work through each step:

Step 1: Convert 2122\frac{1}{2} to an improper fraction. 212=522\frac{1}{2} = \frac{5}{2}.

Step 2: The equation becomes a+52=4 a + \frac{5}{2} = 4 . To isolate aa, subtract 52\frac{5}{2} from both sides:

a=452 a = 4 - \frac{5}{2}

Step 3: Convert 4 into a fraction with the same denominator to perform the subtraction. 4=824 = \frac{8}{2}.

a=8252=32 a = \frac{8}{2} - \frac{5}{2} = \frac{3}{2} .

The improper fraction 32\frac{3}{2} can be converted back to a mixed number, giving a=112 a = 1\frac{1}{2} .

Therefore, the solution to the problem is a=112 a = 1\frac{1}{2} .

Answer

a=112 a=1\frac{1}{2}