Convert Fraction 16/10 to Mixed Number: Step-by-Step Solution

Q: How do I know when a fraction needs to be converted to a mixed number?

When the numerator is larger than the denominator (like 16 > 10), you have an improper fraction that can be written as a mixed number with a whole number part.

Q: What if there's no remainder when I divide?

Then your answer is just a whole number! For example, $ \frac{20}{10} = 2 $ with no fractional part needed.

Q: Do I need to simplify the fractional part?

Yes! Always reduce fractions to lowest terms. In this case, $ \frac{6}{10} $ can be simplified to $ \frac{3}{5} $, making the final answer $ 1\frac{3}{5} $.

Q: Can I use a calculator for the division?

Long division by hand is better for learning! It helps you see exactly where the whole number and remainder come from. Save calculators for checking your work.

Q: What's the difference between 1 6/10 and 16/10?

They're equal values written differently! $ \frac{16}{10} $ is an improper fraction, while $ 1\frac{6}{10} $ is the same amount expressed as a mixed number.

Q: Why do we keep the same denominator?

The denominator tells us the size of each piece. We're not changing the piece size, just organizing how many whole groups we have plus leftover pieces.

Improper Fractions with Division Method

Write the fraction as a mixed number:

$\frac{16}{10}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Write the mixed fraction

00:04 Divide into whole number and remainder

00:08 Check how many times the denominator goes into the numerator

00:12 Subtract the whole number from the fraction to get the remainder

00:17 Combine into a mixed fraction

00:20 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction as a mixed number:

$\frac{16}{10}=$

Step-by-step solution

To solve the problem of converting the fraction $\frac{16}{10}$ to a mixed number, we proceed with the following steps:

Step 1: Identify the numerator (16) and the denominator (10).
Step 2: Divide the numerator by the denominator to find the whole number part.
Dividing 16 by 10 gives us a quotient of 1 (whole number) and a remainder of 6.
Step 3: Express the result as a mixed number.
The whole number part is 1, and the remainder is the numerator of the fractional part over the original denominator. This is $\frac{6}{10}$ .
Step 4: Write the final mixed number as: $1\frac{6}{10}$ .

Therefore, the mixed number form of the fraction $\frac{16}{10}$ is $1\frac{6}{10}$ .

Final Answer

$1\frac{6}{10}$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to find whole number part
Technique: 16 ÷ 10 = 1 remainder 6, so $1\frac{6}{10}$
Check: Convert back: $1\frac{6}{10} = \frac{10+6}{10} = \frac{16}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Confusing which number goes where in division
Don't divide denominator by numerator (10 ÷ 16) = decimal less than 1! This gives you a fraction less than one whole, not a mixed number. Always divide numerator by denominator (16 ÷ 10) to find the whole number part.

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

How do I know when a fraction needs to be converted to a mixed number?

When the numerator is larger than the denominator (like 16 > 10), you have an improper fraction that can be written as a mixed number with a whole number part.

What if there's no remainder when I divide?

Then your answer is just a whole number! For example, $\frac{20}{10} = 2$ with no fractional part needed.

Do I need to simplify the fractional part?

Yes! Always reduce fractions to lowest terms. In this case, $\frac{6}{10}$ can be simplified to $\frac{3}{5}$ , making the final answer $1\frac{3}{5}$ .

Can I use a calculator for the division?

Long division by hand is better for learning! It helps you see exactly where the whole number and remainder come from. Save calculators for checking your work.

What's the difference between 1 6/10 and 16/10?

They're equal values written differently! $\frac{16}{10}$ is an improper fraction, while $1\frac{6}{10}$ is the same amount expressed as a mixed number.

Why do we keep the same denominator?

The denominator tells us the size of each piece. We're not changing the piece size, just organizing how many whole groups we have plus leftover pieces.

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Convert Fraction 16/10 to Mixed Number: Step-by-Step Solution

Improper Fractions with Division Method

❤️ 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

How do I know when a fraction needs to be converted to a mixed number?

What if there's no remainder when I divide?

Do I need to simplify the fractional part?

Can I use a calculator for the division?

What's the difference between 1 6/10 and 16/10?

Why do we keep the same denominator?

🌟 Unlock Your Math Potential

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