Find the Fraction: Numerator 2 and Denominator 6

Q: Why can't I just write 2/6 as my answer?

You can, but $ \frac{2}{6} $ and $ \frac{1}{3} $ are the same fraction! Math problems usually want the simplest form, which means dividing both parts by their greatest common factor.

Q: How do I know what number to divide by?

Find the Greatest Common Divisor (GCD) of the numerator and denominator. For 2 and 6, both can be divided by 2, so $ \frac{2÷2}{6÷2} = \frac{1}{3} $.

Q: What if I put the numbers in the wrong places?

Remember: numerator = top number, denominator = bottom number. If you mixed them up, you'd get $ \frac{6}{2} = 3 $, which is completely different!

Q: Is there a faster way to simplify fractions?

Yes! Look for common factors quickly: Can both numbers be divided by 2? By 3? Start with small numbers and work your way up until you can't divide anymore.

Q: Why does simplifying matter in multiple choice questions?

Answer choices are usually given in simplest form. Even if $ \frac{2}{6} $ is correct, you won't find it as an option—you'll only see $ \frac{1}{3} $!

Fraction Formation with Simplified Results

My numerator is 2 and my denominator is 6.

Which fraction am I?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the fraction

00:04 Reduce the fraction as much as possible

00:11 Make sure to divide both numerator and denominator

00:24 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

My numerator is 2 and my denominator is 6.

Which fraction am I?

Step-by-step solution

Let's remember that the numerator is on top, while the denominator is on the bottom.

Now let's substitute accordingly and we'll get:

$\frac{2}{6}$

Note that we can simplify this fraction to get:

$\frac{2}{6}=\frac{2\div2}{6\div2}=\frac{1}{3}$

Final Answer

$\frac{1}{3}$

Key Points to Remember

Essential concepts to master this topic

Rule: Numerator goes on top, denominator goes on bottom
Technique: $\frac{2}{6} = \frac{2÷2}{6÷2} = \frac{1}{3}$ using GCD
Check: Verify $\frac{1}{3}$ equals $\frac{2}{6}$ by cross-multiplying: 1×6 = 3×2 ✓

Common Mistakes

Avoid these frequent errors

Not simplifying the fraction to lowest terms
Don't leave $\frac{2}{6}$ as your final answer = missing the simplest form! This makes comparing fractions harder and doesn't match answer choices. Always divide both numerator and denominator by their greatest common divisor.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why can't I just write 2/6 as my answer?

You can, but $\frac{2}{6}$ and $\frac{1}{3}$ are the same fraction! Math problems usually want the simplest form, which means dividing both parts by their greatest common factor.

How do I know what number to divide by?

Find the Greatest Common Divisor (GCD) of the numerator and denominator. For 2 and 6, both can be divided by 2, so $\frac{2÷2}{6÷2} = \frac{1}{3}$ .

What if I put the numbers in the wrong places?

Remember: numerator = top number, denominator = bottom number. If you mixed them up, you'd get $\frac{6}{2} = 3$ , which is completely different!

Is there a faster way to simplify fractions?

Yes! Look for common factors quickly: Can both numbers be divided by 2? By 3? Start with small numbers and work your way up until you can't divide anymore.

Why does simplifying matter in multiple choice questions?

Answer choices are usually given in simplest form. Even if $\frac{2}{6}$ is correct, you won't find it as an option—you'll only see $\frac{1}{3}$ !

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