Solve the Fraction Equation: Finding the Missing Term in 3/8 - ? = 1/8

Question

Complete the missing fraction
38——=18 \frac{3}{8}-_{——}=\frac{1}{8}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the missing fraction
00:04 Since the result's denominator is identical to the fraction, then the unknown's denominator is also identical
00:10 Now let's calculate according to the numerators
00:14 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem using the steps outlined in our analysis:

Start with the equation given in the problem:

38x=18 \frac{3}{8} - x = \frac{1}{8}

Step 1: Add xx to both sides to isolate it:

38=18+x \frac{3}{8} = \frac{1}{8} + x

Step 2: Subtract 18\frac{1}{8} from both sides to solve for xx:

3818=x \frac{3}{8} - \frac{1}{8} = x

Step 3: Simplify the left side of the equation:

  • Subtract the numerators: 31=23 - 1 = 2
  • Maintain the common denominator: 8

So we have:

28=x \frac{2}{8} = x

Therefore, the missing fraction is 28\frac{2}{8}.

Matching our solution to the answer choices, the correct choice is:

Choice 3: 28\frac{2}{8}

Therefore, the solution to the problem is 28\frac{2}{8}.

Answer

28 \frac{2}{8}