Identify the Quotient: Fraction with Numerator 15 and Denominator 3

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

Think of it like a house: the numerator lives upstairs (on top) and the denominator lives downstairs (on bottom). The numerator is what you're counting, the denominator tells you what you're counting by.

Q: What if the division doesn't come out evenly?

Then you'll get either a mixed number (like $ 2\frac{1}{3} $) or a decimal (like 2.33). But in this problem, 15 divides perfectly by 3!

Q: Is there a difference between 5/1 and just 5?

No difference at all! $ \frac{5}{1} = 5 $ because any number divided by 1 equals itself. We usually write it as just 5 to keep it simple.

Fraction Division with Whole Number Results

If my numerator is 15 and my denominator is 3.

Which number am I?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the fraction

00:09 Reduce the fraction as much as possible

00:13 Make sure to divide both numerator and denominator

00:20 Any number divided by 1 is always equal to itself

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

If my numerator is 15 and my denominator is 3.

Which number am I?

Step-by-step solution

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

We can rewrite it accordingly to obtain the following:

$\frac{15}{3}$

Now, let's divide both the numerator and the denominator by 3:

$\frac{15:3}{3:3}=\frac{5}{1}=5$

Final Answer

$5$

Key Points to Remember

Essential concepts to master this topic

Structure: Numerator goes on top, denominator goes on bottom
Technique: Divide 15 ÷ 3 = 5 to find the quotient
Check: Verify that 5 × 3 = 15 to confirm the answer ✓

Common Mistakes

Avoid these frequent errors

Confusing numerator and denominator positions
Don't put the denominator on top and numerator on bottom = $\frac{3}{15}$ instead of $\frac{15}{3}$ ! This flips the fraction and gives 0.2 instead of 5. Always remember numerator is the top number, denominator is the bottom number.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the diagram as a number:

FAQ

Everything you need to know about this question

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

Think of it like a house: the numerator lives upstairs (on top) and the denominator lives downstairs (on bottom). The numerator is what you're counting, the denominator tells you what you're counting by.

Why does 15/3 equal 5 instead of staying as a fraction?

When the numerator divides evenly by the denominator with no remainder, the fraction becomes a whole number. Since 15 ÷ 3 = 5 exactly, $\frac{15}{3} = 5$ .

What if the division doesn't come out evenly?

Then you'll get either a mixed number (like $2\frac{1}{3}$ ) or a decimal (like 2.33). But in this problem, 15 divides perfectly by 3!

How can I check if my fraction equals a whole number?

Simply divide the top number by the bottom number. If you get a whole number with no remainder, then your fraction equals that whole number.

Is there a difference between 5/1 and just 5?

No difference at all! $\frac{5}{1} = 5$ because any number divided by 1 equals itself. We usually write it as just 5 to keep it simple.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Simple Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime