Convert Fraction 14/6 to a Mixed Number: Step-by-Step Solution

Q: Why can't I just simplify 14/6 to 7/3 instead?

You absolutely can! $ \frac{7}{3} $ is the simplified improper fraction, but the question specifically asks for a mixed number. Both forms are mathematically correct, but mixed numbers show the whole and fractional parts separately.

Q: Should I simplify the fractional part of my mixed number?

Yes, always simplify when possible! In this case, $ 2\frac{2}{6} $ can be simplified to $ 2\frac{1}{3} $ since 2 and 6 have a common factor of 2.

Q: What if the remainder is 0?

If there's no remainder, you have a whole number! For example, $ \frac{12}{6} = 2 $ with remainder 0, so the answer is just 2, not a mixed number.

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

Proper fractions have numerators smaller than denominators (like $ \frac{3}{5} $). Improper fractions have numerators greater than or equal to denominators (like $ \frac{14}{6} $), and these can be converted to mixed numbers!

Mixed Numbers with Improper Fractions

Write the fraction as a mixed number:

$\frac{14}{6}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Write as a mixed fraction

00:04 Break down 14 into 12 plus 2

00:10 Break into whole fraction and remainder

00:16 Convert from whole fraction to whole number, and combine into mixed fraction

00:27 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

Write the fraction as a mixed number:

$\frac{14}{6}=$

Step-by-step solution

To solve the problem of converting $\frac{14}{6}$ into a mixed number, we will perform the following steps:

Step 1: Divide the Numerator by the Denominator
Divide 14 by 6. The division gives us a quotient (whole number) and a remainder.
Step 2: Determine the Whole Number
The whole number from the division of 14 by 6 is 2, because $6 \times 2 = 12$ with a remainder.
Step 3: Find the Remainder
Subtract $12$ from $14$ to find the remainder: $14 - 12 = 2$ .
Step 4: Construct the Mixed Number
The remainder 2 becomes the numerator of the fractional part, keeping the original denominator 6. Therefore, the mixed number is $2\frac{2}{6}$ .

Thus, the improper fraction $\frac{14}{6}$ can be expressed as the mixed number $2\frac{2}{6}$ .

The solution to the problem is $2\frac{2}{6}$ .

Final Answer

$2\frac{2}{6}$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to find whole number part
Technique: 14 ÷ 6 = 2 remainder 2, so $2\frac{2}{6}$
Check: Convert back: $2\frac{2}{6} = \frac{14}{6}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to use the remainder as the new numerator
Don't just write the quotient as your final answer = you lose the fractional part! When 14 ÷ 6 = 2 remainder 2, the remainder 2 becomes the numerator of your fractional part. Always write the quotient plus the remainder over the original denominator.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

$\frac{10}{7}=$

FAQ

Everything you need to know about this question

Why can't I just simplify 14/6 to 7/3 instead?

You absolutely can! $\frac{7}{3}$ is the simplified improper fraction, but the question specifically asks for a mixed number. Both forms are mathematically correct, but mixed numbers show the whole and fractional parts separately.

Should I simplify the fractional part of my mixed number?

Yes, always simplify when possible! In this case, $2\frac{2}{6}$ can be simplified to $2\frac{1}{3}$ since 2 and 6 have a common factor of 2.

What if the remainder is 0?

If there's no remainder, you have a whole number! For example, $\frac{12}{6} = 2$ with remainder 0, so the answer is just 2, not a mixed number.

How do I check if my mixed number is correct?

Convert it back to an improper fraction! Multiply the whole number by the denominator, add the numerator: $2\frac{2}{6} = \frac{(2×6)+2}{6} = \frac{14}{6}$ ✓

What's the difference between proper and improper fractions?

Proper fractions have numerators smaller than denominators (like $\frac{3}{5}$ ). Improper fractions have numerators greater than or equal to denominators (like $\frac{14}{6}$ ), and these can be converted to mixed numbers!

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Convert Fraction 14/6 to a Mixed Number: Step-by-Step Solution

Mixed Numbers with Improper Fractions

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why can't I just simplify 14/6 to 7/3 instead?

Should I simplify the fractional part of my mixed number?

What if the remainder is 0?

How do I check if my mixed number is correct?

What's the difference between proper and improper fractions?

🌟 Unlock Your Math Potential

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