Convert Mixed Number: Finding the Decimal Form of 3 9/100

Q: Why does 9/100 equal 0.09 and not 0.9?

The denominator 100 tells you how many decimal places to use! Since 100 has 2 zeros, you need 2 decimal places. So 9/100 = 0.09, not 0.9.

Q: What if the fraction part is larger, like 25/100?

Same process! $ \frac{25}{100} = 0.25 $. So $ 3\frac{25}{100} = 3 + 0.25 = 3.25 $. The denominator 100 still means 2 decimal places.

Q: Can I convert this without doing division?

Yes! Since 100 = 10², fractions with denominator 100 automatically become hundredths. Just write the numerator with 2 decimal places: 9 becomes 0.09.

Q: How do I check if 3.09 is correct?

Convert back to a mixed number! 3.09 = 3 + 0.09. Since 0.09 = 9/100, you get $ 3\frac{9}{100} $ ✓

Mixed Number Conversion with Hundredths

$3\frac{9}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

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

00:11 Convert to decimal fraction

00:23 Add

00:38 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

$3\frac{9}{100}=$

Step-by-step solution

To solve the problem of converting $3\frac{9}{100}$ into its decimal form, follow these steps:

First, recognize that we have a mixed number with a whole part and a fractional part.
Next, convert the fractional part $\frac{9}{100}$ to a decimal by performing the division $9 \div 100$ , which results in $0.09$ .
Finally, add the decimal obtained from the fractional part to the whole number: $3 + 0.09$ .

Step-by-step:

Step 1: Convert the fractional part $\frac{9}{100}$ into a decimal:

$\frac{9}{100} = 0.09$

Step 2: Add this decimal to the whole number part:

$3 + 0.09 = 3.09$

Therefore, the decimal form of $3\frac{9}{100}$ is $\mathbf{3.09}$ .

Final Answer

$3.09$

Key Points to Remember

Essential concepts to master this topic

Rule: Mixed numbers have whole and fractional parts
Technique: Convert $\frac{9}{100}$ to 0.09 by dividing
Check: Add whole and decimal: 3 + 0.09 = 3.09 ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly
Don't write 9/100 as 0.9 = wrong decimal placement! This gives 3.9 instead of 3.09 because you're ignoring the denominator 100. Always count decimal places: 100 has 2 zeros, so 9/100 needs 2 decimal places.

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

Why does 9/100 equal 0.09 and not 0.9?

The denominator 100 tells you how many decimal places to use! Since 100 has 2 zeros, you need 2 decimal places. So 9/100 = 0.09, not 0.9.

How do I remember where to put the decimal point?

Count the zeros in the denominator!

10 has 1 zero → 1 decimal place
100 has 2 zeros → 2 decimal places
1000 has 3 zeros → 3 decimal places

What if the fraction part is larger, like 25/100?

Same process! $\frac{25}{100} = 0.25$ . So $3\frac{25}{100} = 3 + 0.25 = 3.25$ . The denominator 100 still means 2 decimal places.

Can I convert this without doing division?

Yes! Since 100 = 10², fractions with denominator 100 automatically become hundredths. Just write the numerator with 2 decimal places: 9 becomes 0.09.

How do I check if 3.09 is correct?

Convert back to a mixed number! 3.09 = 3 + 0.09. Since 0.09 = 9/100, you get $3\frac{9}{100}$ ✓

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