Solve the Fraction Equation: Finding the Missing Term in 3/4 - ? = 2/4

Fraction Subtraction with Missing Terms

Complete the missing fraction
34——=24 \frac{3}{4}-_{——}=\frac{2}{4}

What is the missing fraction?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the unknown
00:03 Notice that the result has the same denominator
00:06 Therefore, the unknown must also have the same denominator
00:09 Now let's understand what the unknown is according to the numerators
00:12 Find the unknown, and substitute in the numerator
00:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the missing fraction
34——=24 \frac{3}{4}-_{——}=\frac{2}{4}

What is the missing fraction?

2

Step-by-step solution

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

  • Identify the fractions involved in the given equation.
  • Subtract the result fraction from the starting fraction to find the missing fraction.

Now, let's work through each step:

Step 1: Identify the fractions.
The given equation is 34(missing fraction)=24 \frac{3}{4} - \text{(missing fraction)} = \frac{2}{4} .

Step 2: Subtract the result fraction from the starting fraction.
We rearrange the equation to find the missing fraction: 3424=missing fraction \frac{3}{4} - \frac{2}{4} = \text{missing fraction} .

Step 3: Perform the subtraction.
Since the denominators are the same (4), we subtract the numerators: 32=1 3 - 2 = 1 .

Step 4: Write the result over the common denominator.
The missing fraction is 14 \frac{1}{4} .

Therefore, the solution to the problem is 14 \frac{1}{4} .

3

Final Answer

14 \frac{1}{4}

Key Points to Remember

Essential concepts to master this topic
  • Rule: When subtracting fractions with same denominators, subtract numerators only
  • Technique: Rearrange equation: 3424=14 \frac{3}{4} - \frac{2}{4} = \frac{1}{4}
  • Check: Verify by substituting back: 3414=24 \frac{3}{4} - \frac{1}{4} = \frac{2}{4}

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to find missing term
    Don't solve 34?=24 \frac{3}{4} - ? = \frac{2}{4} by adding 34+24=54 \frac{3}{4} + \frac{2}{4} = \frac{5}{4} ! This gives the wrong missing fraction because you're doing the opposite operation. Always subtract the result from the starting fraction to find what was taken away.

Practice Quiz

Test your knowledge with interactive questions

\( \frac{1}{3}+\frac{1}{4}= \)

FAQ

Everything you need to know about this question

How do I know which fraction to subtract from which?

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Think of it like this: if you start with 34 \frac{3}{4} and end up with 24 \frac{2}{4} , you need to find what was taken away. So subtract the ending amount from the starting amount!

Why can't I just subtract the denominators too?

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When fractions have the same denominator, the denominator stays the same! You only subtract the numerators: 3414=314=24 \frac{3}{4} - \frac{1}{4} = \frac{3-1}{4} = \frac{2}{4} .

What if the denominators were different?

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If denominators are different, you'd need to find a common denominator first, then convert both fractions before subtracting. Lucky for us, both fractions already have 4 as the denominator!

Can I simplify the answer?

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Yes! Always check if your answer can be simplified. In this case, 14 \frac{1}{4} is already in simplest form because 1 and 4 have no common factors other than 1.

How do I check if my answer is correct?

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Substitute your answer back into the original equation: 3414 \frac{3}{4} - \frac{1}{4} . If it equals 24 \frac{2}{4} , you're right!

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