Convert Fraction to Decimal: Solving 9/100

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

The denominator 100 has two zeros, which means the decimal needs two places after the decimal point. So 9 becomes 0.09 (nine hundredths), not 0.9 (nine tenths).

Q: 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.

Q: What's the difference between 0.09 and 0.90?

0.09 means 9 hundredths (9 out of 100), while 0.90 means 90 hundredths (90 out of 100). They're completely different values!

Q: Can I just write .09 instead of 0.09?

Mathematically, .09 and 0.09 are the same, but it's better to write 0.09 with the leading zero to make it clearer and avoid confusion.

Q: How do I convert other fractions like 7/100 or 25/100?

Use the same pattern! $ \frac{7}{100} = 0.07 $ and $ \frac{25}{100} = 0.25 $. The numerator becomes the digits after the decimal point.

Fraction to Decimal with Hundredths

Write the following fraction as a decimal:

$\frac{9}{100}=$

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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 In a decimal fraction, take the numerator as a number

00:06 According to the denominator, move the decimal point

00:10 When the denominator equals 100, move the point two places to the left

00:18 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 following fraction as a decimal:

$\frac{9}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$9.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.090$

We'll add the zero before the decimal point and get:

$0.090=0.09$

Final Answer

0.09

Key Points to Remember

Essential concepts to master this topic

Rule: Denominator of 100 means two decimal places to the right
Technique: Move decimal point left: 9 ÷ 100 = 0.09
Check: Count decimal places: 0.09 has 2 places like 100 ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point in wrong position
Don't put 9 in tenths place making 0.90 = incorrect answer! This happens when you forget that 100 has two zeros. Always count the zeros in the denominator to place the decimal correctly.

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 has two zeros, which means the decimal needs two places after the decimal point. So 9 becomes 0.09 (nine hundredths), not 0.9 (nine tenths).

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's the difference between 0.09 and 0.90?

0.09 means 9 hundredths (9 out of 100), while 0.90 means 90 hundredths (90 out of 100). They're completely different values!

Can I just write .09 instead of 0.09?

Mathematically, .09 and 0.09 are the same, but it's better to write 0.09 with the leading zero to make it clearer and avoid confusion.

How do I convert other fractions like 7/100 or 25/100?

Use the same pattern! $\frac{7}{100} = 0.07$ and $\frac{25}{100} = 0.25$ . The numerator becomes the digits after the decimal point.

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