Solve the Fraction Equation: Subtracting 2/3 from 2/3

Fraction Subtraction with Identical Terms

Solve the following exercise:

2323=? \frac{2}{3}-\frac{2}{3}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Subtract in the common denominator
00:07 Calculate the numerator
00:10 0 divided by any number is always equal to 0
00:13 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:

2323=? \frac{2}{3}-\frac{2}{3}=\text{?}

2

Step-by-step solution

Let's solve the problem step-by-step:

  • Step 1: Subtract the fractions. We have 2323 \frac{2}{3} - \frac{2}{3} .
  • Step 2: Since the denominators are the same (3), subtract the numerators. Thus, 22=0 2 - 2 = 0 .
  • Step 3: The result of the fraction subtraction is 03 \frac{0}{3} .

Observing that 03 \frac{0}{3} equals 0, we find that the subtraction results in just the number 0.

Therefore, the solution to the problem is 0.

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominators are equal, subtract numerators directly
  • Technique: Same fractions subtracted: 2323=223=03 \frac{2}{3} - \frac{2}{3} = \frac{2-2}{3} = \frac{0}{3}
  • Check: Any fraction with zero numerator equals zero: 03=0 \frac{0}{3} = 0

Common Mistakes

Avoid these frequent errors
  • Subtracting denominators instead of numerators
    Don't subtract both numerators and denominators like 2233=00 \frac{2-2}{3-3} = \frac{0}{0} = undefined! This creates an impossible result. Always keep the denominator the same when subtracting fractions with equal denominators.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( \frac{8}{5}-\frac{4}{5}=\text{?} \)

FAQ

Everything you need to know about this question

Why does any number minus itself equal zero?

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This is the subtraction identity! When you take away the exact same amount you started with, nothing remains. Think of it like having 23 \frac{2}{3} of a pizza and eating 23 \frac{2}{3} of that pizza - you have zero pizza left!

Does 03 \frac{0}{3} really equal 0?

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Yes! Any fraction with zero in the numerator equals zero, no matter what the denominator is. 03=0100=01000=0 \frac{0}{3} = \frac{0}{100} = \frac{0}{1000} = 0

What if the denominators were different?

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If denominators differ, you'd need to find a common denominator first. But since both fractions here have denominator 3, we can subtract directly: 223 \frac{2-2}{3}

Is this the same as 2 - 2 = 0?

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Exactly! The logic is identical. Whether you're subtracting whole numbers, fractions, or any equal quantities, the result is always zero. 2323 \frac{2}{3} - \frac{2}{3} follows the same principle as 2 - 2 = 0.

Can I simplify before subtracting?

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These fractions are already in simplest form, so there's nothing to simplify first. Just subtract the numerators: 22=0 2 - 2 = 0 , giving us 03=0 \frac{0}{3} = 0 .

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