Convert Decimal to Fraction: Transforming 1000.6 to Mixed Number Form

Q: How do I know what denominator to use for the decimal part?

Look at the place value of the last digit! In 0.6, the 6 is in the tenths place, so use 10 as the denominator. If it were 0.06, the 6 would be in the hundredths place, so you'd use 100.

Q: Should I simplify the fraction part?

Yes! $ \frac{6}{10} $ can be simplified to $ \frac{3}{5} $ by dividing both numerator and denominator by 2. So the final answer could be $ 1000\frac{3}{5} $.

Q: What's the difference between a mixed number and an improper fraction?

A mixed number like $ 1000\frac{6}{10} $ shows the whole part and fraction part separately. An improper fraction would combine everything into one fraction like $ \frac{10006}{10} $.

Q: Can I convert any decimal to a mixed number this way?

Absolutely! Any decimal with a whole number part can become a mixed number. Just separate the whole number from the decimal, then convert the decimal part to a fraction using place value.

Q: Why is 1000.6 not equal to the other answer choices?

The other choices use wrong denominators! $ \frac{6}{100} = 0.06 $ and $ \frac{6}{1000} = 0.006 $, which are much smaller than 0.6. Only $ \frac{6}{10} = 0.6 $ gives us the correct decimal value.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed fraction

00:04 Break down the number into whole number and remainder

00:17 Convert the remainder to a fraction

00:20 The denominator depends on the number of digits after the decimal point

00:23 There is only one digit, so the denominator will be 10

00:27 Add to make a mixed fraction

00:30 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Convert 1000.6 into a fraction.

2

Step-by-step solution

To solve this problem, let's follow step-by-step instructions:

Step 1: Break down the number 1000.6 into two parts: the whole number part, which is 1000, and the decimal part, which is 0.6.
Step 2: Convert the decimal 0.6 to a fraction. The decimal 0.6 can be written as $\frac{6}{10}$ because the 6 is in the tenths place.
Step 3: Combine the whole number and the fractional part to form a mixed number. Thus, 1000.6 becomes $1000\frac{6}{10}$ .

Thus, the decimal 1000.6 as a mixed fraction is $1000\frac{6}{10}$ .

3

Final Answer

$1000\frac{6}{10}$

Key Points to Remember

Essential concepts to master this topic

Decimal Places: The decimal 0.6 has one digit in tenths place
Technique: Convert 0.6 to $\frac{6}{10}$ by using place value
Check: Verify $1000\frac{6}{10} = 1000 + 0.6 = 1000.6$ ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on number of decimal places
Don't write 0.6 as $\frac{6}{100}$ or $\frac{6}{1000}$ = wrong fraction! This happens when you count all digits instead of focusing on place value. Always use the place value: 0.6 has 6 in the tenths place, so it's $\frac{6}{10}$ .

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

How do I know what denominator to use for the decimal part?

+

Look at the place value of the last digit! In 0.6, the 6 is in the tenths place, so use 10 as the denominator. If it were 0.06, the 6 would be in the hundredths place, so you'd use 100.

Should I simplify the fraction part?

+

Yes! $\frac{6}{10}$ can be simplified to $\frac{3}{5}$ by dividing both numerator and denominator by 2. So the final answer could be $1000\frac{3}{5}$ .

What's the difference between a mixed number and an improper fraction?

+

A mixed number like $1000\frac{6}{10}$ shows the whole part and fraction part separately. An improper fraction would combine everything into one fraction like $\frac{10006}{10}$ .

Can I convert any decimal to a mixed number this way?

+

Absolutely! Any decimal with a whole number part can become a mixed number. Just separate the whole number from the decimal, then convert the decimal part to a fraction using place value.

Why is 1000.6 not equal to the other answer choices?

+

The other choices use wrong denominators! $\frac{6}{100} = 0.06$ and $\frac{6}{1000} = 0.006$ , which are much smaller than 0.6. Only $\frac{6}{10} = 0.6$ gives us the correct decimal value.

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Convert Decimal to Fraction: Transforming 1000.6 to Mixed Number Form

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