Solve the Fraction Problem: 3/9 minus 1/9

Fraction Subtraction with Common Denominators

Solve the following exercise:

3919=? \frac{3}{9}-\frac{1}{9}=\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 let's subtract the number of squares according to the appropriate fraction
00:12 The remaining number of squares is the numerator of the answer
00:15 The denominator of the answer equals the number of parts
00:18 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:

3919=? \frac{3}{9}-\frac{1}{9}=\text{?}

2

Step-by-step solution

To solve this problem, we'll subtract two fractions with a common denominator. Here is the step-by-step process:

  • Step 1: Identify the numerators: The numbers on top of the fractions are 3 and 1.
  • Step 2: Subtract the numerators: Calculate 31=23 - 1 = 2.
  • Step 3: Retain the common denominator: Since the two fractions have the same denominator, 9, retain this in the result.

Thus, the result of subtracting 19\frac{1}{9} from 39\frac{3}{9} is 29\frac{2}{9}.

Therefore, the solution to the problem is 29\frac{2}{9}.

3

Final Answer

29 \frac{2}{9}

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominators match, subtract only the numerators
  • Technique: Calculate 31=2 3 - 1 = 2 , keep denominator 9
  • Check: Verify 29+19=39 \frac{2}{9} + \frac{1}{9} = \frac{3}{9}

Common Mistakes

Avoid these frequent errors
  • Subtracting denominators along with numerators
    Don't subtract both numerators and denominators like 3919=28 \frac{3}{9} - \frac{1}{9} = \frac{2}{8} ! When denominators are the same, they represent the same-sized parts, so only the number of parts (numerators) changes. Always keep the common denominator unchanged.

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 you what size pieces you're working with. Since both fractions have ninths, you're working with the same size pieces throughout. Only the number of pieces changes!

What if the denominators were different?

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If denominators are different, you'd need to find equivalent fractions with a common denominator first. But when they're already the same (like 9 and 9), you can subtract directly!

Can I simplify 29 \frac{2}{9} further?

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No, 29 \frac{2}{9} is already in simplest form. Since 2 and 9 share no common factors other than 1, this fraction cannot be reduced further.

How do I check if my answer is correct?

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Add your answer back to the second fraction: 29+19=39 \frac{2}{9} + \frac{1}{9} = \frac{3}{9} . If you get the first fraction, your subtraction is correct!

What does 29 \frac{2}{9} mean in real life?

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Think of a pizza cut into 9 equal slices. If you had 3 slices and ate 1 slice, you'd have 2 slices left - that's 29 \frac{2}{9} of the whole pizza!

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