Identify the Fraction: Finding the Number with Numerator 3 and Denominator 9

Q: How do I remember which number goes where in a fraction?

Numerator goes on top (think 'north'), denominator goes on the bottom (think 'down'). The numerator tells you how many parts you have, the denominator tells you how many parts total.

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

Find the Greatest Common Factor (GCF) of both numbers. For 3 and 9, the GCF is 3 because both numbers can be divided by 3. Then divide both numerator and denominator by this number!

Q: Is 3/9 the same as 1/3?

Yes! They represent the exact same value. You can verify this by cross-multiplying: 3 × 3 = 9 × 1, so 9 = 9. Both fractions are equivalent but $ \frac{1}{3} $ is in simplest form.

Fraction Identification with Simplification to Lowest Terms

What number am I?

My numerator is 3 and my denominator is 9.

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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

00:09 Make sure to divide both numerator and denominator

00:22 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

What number am I?

My numerator is 3 and my denominator is 9.

Step-by-step solution

Note that that the numerator of the fraction is on top, while the denominator of the fraction is on the bottom.

Now we'll arrange accordingly to obtain:

$\frac{3}{9}$

Then, we'll divide both the numerator and the denominator by 3:

$\frac{3:3}{9:3}=\frac{1}{3}$

Final Answer

$\frac{1}{3}$

Key Points to Remember

Essential concepts to master this topic

Structure: Numerator goes on top, denominator on bottom
Technique: Simplify $\frac{3}{9}$ by dividing both by 3
Check: Verify $\frac{1}{3}$ equals $\frac{3}{9}$ using cross-multiplication ✓

Common Mistakes

Avoid these frequent errors

Writing the fraction backwards with denominator on top
Don't write 9/3 when given numerator 3 and denominator 9 = wrong fraction entirely! This confuses the basic definition of fractions. Always put numerator on top and denominator on bottom as given.

Practice Quiz

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Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

How do I remember which number goes where in a fraction?

Numerator goes on top (think 'north'), denominator goes on the bottom (think 'down'). The numerator tells you how many parts you have, the denominator tells you how many parts total.

Why do we need to simplify fractions like 3/9?

Simplifying makes fractions easier to understand and compare! $\frac{3}{9}$ and $\frac{1}{3}$ represent the same amount, but $\frac{1}{3}$ is simpler and easier to work with.

How do I know what number to divide by when simplifying?

Find the Greatest Common Factor (GCF) of both numbers. For 3 and 9, the GCF is 3 because both numbers can be divided by 3. Then divide both numerator and denominator by this number!

What if I can't find a common factor?

If the numerator and denominator share no common factors except 1, then your fraction is already in lowest terms! For example, $\frac{2}{5}$ cannot be simplified further.

Is 3/9 the same as 1/3?

Yes! They represent the exact same value. You can verify this by cross-multiplying: 3 × 3 = 9 × 1, so 9 = 9. Both fractions are equivalent but $\frac{1}{3}$ is in simplest form.

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