Solve the Fraction Equation: Finding the Missing Term in 6/7 - ? = 2/7

Q: Why do I rearrange the equation instead of just guessing?

Rearranging the equation guarantees you get the right answer! When you have $ \frac{6}{7} - ? = \frac{2}{7} $, move the unknown to one side: missing fraction = 6/7 - 2/7.

Q: What if the denominators were different?

You'd need to find a common denominator first! For example, if you had 1/2 - ? = 1/3, convert to sixths: 3/6 - ? = 2/6, so ? = 1/6.

Q: How do I subtract fractions with the same denominator?

Keep the denominator the same and subtract only the numerators. So $ \frac{6}{7} - \frac{2}{7} = \frac{6-2}{7} = \frac{4}{7} $.

Q: How can I check if my answer is correct?

Substitute your answer back into the original equation! If $ \frac{6}{7} - \frac{4}{7} = \frac{2}{7} $, then 4/7 is correct. Both sides should equal the same value.

Fraction Subtraction with Missing Terms

Complete the missing fraction
$\frac{6}{7}-_{——}=\frac{2}{7}$

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 missing fraction

00:03 Since the denominator of the result is identical to the fraction, then the denominator of the unknown is also identical

00:08 Now let's calculate according to the numerators

00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the missing fraction
$\frac{6}{7}-_{——}=\frac{2}{7}$

What is the missing fraction?

Step-by-step solution

To solve this problem, we'll complete the following steps:

Identify the given expressions
Adjust the equation to find the missing fraction
Calculate the correct value

Let's break this down:

We start with the problem statement:

$\frac{6}{7} - \text{missing fraction} = \frac{2}{7}$

To find the missing fraction, rearrange the equation:

$\text{Missing fraction} = \frac{6}{7} - \frac{2}{7}$

Since the denominators are identical (both are 7), we subtract the numerators while keeping the denominator constant:

$\text{Missing fraction} = \frac{6 - 2}{7} = \frac{4}{7}$

Upon reevaluating our options, we find $\frac{4}{7}$ matches option 4 in the answer choices.

The missing fraction that completes the equation is therefore $\frac{4}{7}$ .

Final Answer

$\frac{4}{7}$

Key Points to Remember

Essential concepts to master this topic

Rule: Subtract numerators when denominators are the same
Technique: Rearrange equation: missing = $\frac{6}{7} - \frac{2}{7} = \frac{4}{7}$
Check: Verify by substituting back: $\frac{6}{7} - \frac{4}{7} = \frac{2}{7}$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting wrong numbers from the equation
Don't subtract 6/7 - 2/7 and think the missing fraction is 4/7 without checking your setup! Students often subtract in the wrong direction. Always rearrange first: missing fraction = 6/7 - 2/7, then calculate.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{3}{2}-\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

Why do I rearrange the equation instead of just guessing?

Rearranging the equation guarantees you get the right answer! When you have $\frac{6}{7} - ? = \frac{2}{7}$ , move the unknown to one side: missing fraction = 6/7 - 2/7.

What if the denominators were different?

You'd need to find a common denominator first! For example, if you had 1/2 - ? = 1/3, convert to sixths: 3/6 - ? = 2/6, so ? = 1/6.

How do I subtract fractions with the same denominator?

Keep the denominator the same and subtract only the numerators. So $\frac{6}{7} - \frac{2}{7} = \frac{6-2}{7} = \frac{4}{7}$ .

How can I check if my answer is correct?

Substitute your answer back into the original equation! If $\frac{6}{7} - \frac{4}{7} = \frac{2}{7}$ , then 4/7 is correct. Both sides should equal the same value.

What if I picked one of the wrong multiple choice answers?

Try each answer choice by substituting it back! For example, if you chose $\frac{3}{7}$ : does $\frac{6}{7} - \frac{3}{7} = \frac{2}{7}$ ? No, it equals $\frac{3}{7}$ , so that's wrong.

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