Solve the Fraction Equation: Finding the Missing Number in ?+2/8=3/4

Question

?+28=34 ?+\frac{2}{8}=\frac{3}{4}

Video Solution

Solution Steps

00:07 Let's find the unknown value in our problem.
00:12 First, reduce the fraction to its simplest form.
00:16 Remember to divide, both the top and bottom numbers.
00:21 Here's our reduced fraction. Now, let's substitute it back in.
00:38 The solution has the same bottom number, so the unknown shares it too.
00:43 Let's figure out the unknown by just looking at the top numbers.
00:47 And there you have it! That's the answer to our question.

Step-by-Step Solution

To find the missing number in the equation ?+28=34 ? + \frac{2}{8} = \frac{3}{4} , we will follow these steps:

  • Step 1: Simplify the fraction 28\frac{2}{8} to 14\frac{1}{4}.
  • Step 2: Recognize that we need to find a fraction that, when added to 14\frac{1}{4}, results in 34\frac{3}{4}.
  • Step 3: Set up the equation ?+14=34 ? + \frac{1}{4} = \frac{3}{4} .
  • Step 4: Solve for the missing fraction by subtracting 14\frac{1}{4} from 34\frac{3}{4}:
    ?=3414=24 ? = \frac{3}{4} - \frac{1}{4} = \frac{2}{4} .
  • Step 5: Simplify the resulting fraction: 24=12\frac{2}{4} = \frac{1}{2}.

Therefore, the missing number in the equation is 24\frac{2}{4}.

Answer

24 \frac{2}{4}