Finding the Mixed Number Form of 14/5: Step-by-Step Solution

Q: How do I quickly know which whole numbers a fraction falls between?

Divide the numerator by the denominator! For $ \frac{14}{5} $, calculate 14 ÷ 5 = 2.8, so it's between 2 and 3.

Q: Why do we use fractions with the same denominator like 10/5 and 15/5?

Using the same denominator makes comparison much easier! Since $ \frac{10}{5} = 2 $ and $ \frac{15}{5} = 3 $, we can clearly see that $ \frac{14}{5} $ falls between them.

Q: What's the difference between improper fractions and mixed numbers?

Improper fractions have numerators ≥ denominators (like $ \frac{14}{5} $). Mixed numbers combine whole numbers and proper fractions (like $ 2\frac{4}{5} $). They represent the same value!

Q: Can I convert 14/5 to a mixed number?

Yes! Divide: 14 ÷ 5 = 2 remainder 4. So $ \frac{14}{5} = 2\frac{4}{5} $. The quotient becomes the whole number, and the remainder over original denominator becomes the fraction part.

Q: Why is this method better than just guessing?

This systematic approach always works and builds understanding! By finding equivalent fractions that equal whole numbers, you can see exactly where any improper fraction falls on the number line.

Improper Fractions with Mixed Number Conversion

The number $\frac{14}{5}$ is found...

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the range where the number is located

00:04 Draw the number line and place the given number

00:08 Place each number in the range with the common denominator (5)

00:13 Reduce the whole numbers and find the range

00:26 We can see that the number is in this range

00:29 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

The number $\frac{14}{5}$ is found...

Step-by-step solution

Let's try to understand what is larger and what is smaller than the number $\frac{14}{5}$ .

Since the denominator is 5, both the larger and smaller numbers will also have a denominator of 5:

$\frac{?}{5}<\frac{14}{5}<\frac{?}{5}$

Now let's complete the numerators with numbers that will help us reach whole numbers in the fractions as follows:

$\frac{10}{5}<\frac{14}{5}<\frac{15}{5}$

Let's then simplify the fractions as follows:

$\frac{10:5}{5:5}=\frac{2}{1}=2$

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

Therefore, the answer is:

$2<\frac{14}{5}<3$

Final Answer

...between $2$ and $3$ .

Key Points to Remember

Essential concepts to master this topic

Rule: Improper fractions have numerators greater than or equal to denominators
Technique: Find consecutive whole numbers: $\frac{10}{5} = 2$ and $\frac{15}{5} = 3$
Check: Verify $\frac{14}{5} = 2\frac{4}{5}$ by calculating 2 + 4/5 = 14/5 ✓

Common Mistakes

Avoid these frequent errors

Comparing numerators only without considering denominators
Don't just look at 14 and think it's between 14 and 15 = wrong interval! The denominator 5 changes everything. Always convert to decimals (14÷5 = 2.8) or find equivalent whole number fractions first.

Practice Quiz

Test your knowledge with interactive questions

What are the missing numbers (?) on the numer line below?

FAQ

Everything you need to know about this question

How do I quickly know which whole numbers a fraction falls between?

Divide the numerator by the denominator! For $\frac{14}{5}$ , calculate 14 ÷ 5 = 2.8, so it's between 2 and 3.

Why do we use fractions with the same denominator like 10/5 and 15/5?

Using the same denominator makes comparison much easier! Since $\frac{10}{5} = 2$ and $\frac{15}{5} = 3$ , we can clearly see that $\frac{14}{5}$ falls between them.

What's the difference between improper fractions and mixed numbers?

Improper fractions have numerators ≥ denominators (like $\frac{14}{5}$ ). Mixed numbers combine whole numbers and proper fractions (like $2\frac{4}{5}$ ). They represent the same value!

Can I convert 14/5 to a mixed number?

Yes! Divide: 14 ÷ 5 = 2 remainder 4. So $\frac{14}{5} = 2\frac{4}{5}$ . The quotient becomes the whole number, and the remainder over original denominator becomes the fraction part.

Why is this method better than just guessing?

This systematic approach always works and builds understanding! By finding equivalent fractions that equal whole numbers, you can see exactly where any improper fraction falls on the number line.

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