Express Decimal 1.39: Number Representation Practice

Q: How do I know what denominator to use?

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 1.39 has two decimal places, the fractional part uses denominator 100.

Q: What if I got 1 and 30/100 as my answer?

That's incorrect because you only counted the last digit (9) instead of both decimal digits (39). Remember: 0.39 means thirty-nine hundredths, not nine hundredths.

Q: How can I check if my mixed number is right?

Convert back to decimal: $ 1\frac{39}{100} = 1 + 0.39 = 1.39 $ ✓. If you get the original decimal, your answer is correct!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed number

00:03 Break down the number into whole number and remainder

00:10 Convert the remainder to a fraction

00:16 Add to mixed number

00:21 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

$\text{1}.39=$

2

Step-by-step solution

To solve the problem of converting $1.39$ to a mixed number, follow these steps:

Step 1: Recognize that the number $1.39$ consists of a whole number, $1$ , and a decimal, $0.39$ .
Step 2: Convert the decimal $0.39$ into a fraction. Since there are two digits after the decimal point, it is equivalent to $\frac{39}{100}$ .
Step 3: Combine this fraction with the whole number from Step 1 to form the mixed number $1\frac{39}{100}$ .

Therefore, the correct answer is $1\frac{39}{100}$ .

3

Final Answer

$1\frac{39}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value: Decimal digits determine the denominator power of 10
Technique: Two decimal places means denominator 100: 0.39 = 39/100
Check: Convert back: 1 + 39/100 = 139/100 = 1.39 ✓

Common Mistakes

Avoid these frequent errors

Misidentifying the decimal place value
Don't count 1.39 as 139/10 = wrong denominator! This ignores that .39 has two decimal places. Always count decimal places: two places means denominator 100, so 0.39 = 39/100.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

How do I know what denominator to use?

+

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 1.39 has two decimal places, the fractional part uses denominator 100.

Why isn't the answer 139/10?

+

That would be if the number was 13.9 (one decimal place). But 1.39 has two decimal places, so we need 100 in the denominator: $1\frac{39}{100}$

Can I simplify 39/100 further?

+

Check if 39 and 100 share common factors. Since 39 = 3 × 13 and 100 = 4 × 25, they share no common factors, so $\frac{39}{100}$ is already simplified.

What if I got 1 and 30/100 as my answer?

+

That's incorrect because you only counted the last digit (9) instead of both decimal digits (39). Remember: 0.39 means thirty-nine hundredths, not nine hundredths.

How can I check if my mixed number is right?

+

Convert back to decimal: $1\frac{39}{100} = 1 + 0.39 = 1.39$ ✓. If you get the original decimal, your answer is correct!

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Express Decimal 1.39: Number Representation Practice

Decimal Conversion with Mixed Numbers

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