Solve the Fraction Equation: 6/6 - 3/6 Step-by-Step

Fraction Subtraction with Same Denominators

Solve the following exercise:

6636=? \frac{6}{6}-\frac{3}{6}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 First, let's mark the number of squares we have according to the given data
00:07 Now subtract (remove) the number of squares according to the corresponding fraction
00:15 The remaining number of squares is the numerator of the answer
00:19 The denominator of the answer equals the number of parts we divided the whole into:
00:23 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

Solve the following exercise:

6636=? \frac{6}{6}-\frac{3}{6}=\text{?}

2

Step-by-step solution

Let's solve the problem 6636 \frac{6}{6} - \frac{3}{6} .

First, it's important to note that we're dealing with fractions that have the same denominator. This allows us to subtract the numerators directly while keeping the denominator unchanged.

Here are the steps we'll follow:

  • Step 1: Identify the fractions involved: 66 \frac{6}{6} and 36 \frac{3}{6} .
  • Step 2: Subtract the numerators of the fractions: 63 6 - 3 .
  • Step 3: Keep the denominator the same: 6 6 .
  • Step 4: Combine the results to form the new fraction.

Now let's proceed with the calculation:

Step 2: Subtract the numerators: 63=3 6 - 3 = 3 .

Step 3: Since the denominators are the same, the new denominator remains 6 6 .

Step 4: Combine the results: This gives us the fraction 36 \frac{3}{6} .

Therefore, the solution to the problem 6636 \frac{6}{6} - \frac{3}{6} is 36 \frac{3}{6} .

3

Final Answer

36 \frac{3}{6}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Subtract numerators when denominators are the same
  • Technique: Calculate 6 - 3 = 3, keep denominator 6
  • Check: Verify 6636=36 \frac{6}{6} - \frac{3}{6} = \frac{3}{6} by adding back ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting denominators along with numerators
    Don't subtract both 6-3 in numerator AND 6-6 in denominator = wrong fraction structure! This creates meaningless expressions like 3/0. Always keep the denominator unchanged when denominators are the same.

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 don't I subtract the denominators too?

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The denominator tells us what type of pieces we're working with. Since both fractions are sixths, we're subtracting sixths from sixths, so the result is still in sixths!

Should I simplify 3/6 to 1/2?

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While 36=12 \frac{3}{6} = \frac{1}{2} is correct, many problems want the answer in the same form as the original fractions. Check what your teacher expects!

What if the first numerator is smaller than the second?

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You can still subtract! For example, 2656=36 \frac{2}{6} - \frac{5}{6} = \frac{-3}{6} . The result will be a negative fraction.

How do I check my answer is right?

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Add your answer back to the second fraction: 36+36=66 \frac{3}{6} + \frac{3}{6} = \frac{6}{6} . If you get the first fraction, you're correct!

Do I always keep the same denominator?

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Yes! When subtracting fractions with the same denominator, the denominator never changes. You only work with the numerators.

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