Convert Fraction to Decimal: Finding the Decimal Form of 33/100

Q: Why does dividing by 100 move the decimal two places left?

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 (two zeros) moves the decimal two places left.

Q: What if my fraction doesn't have 10, 100, or 1000 in the denominator?

Then you'll need to use long division instead of the decimal point method. This shortcut only works with denominators that are powers of 10.

Q: Do I need to write trailing zeros like 0.330?

No! $ 0.33 $ and $ 0.330 $ are equal. You can drop trailing zeros after the decimal point to get the simplest form.

Q: How do I remember which way to move the decimal?

Think: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so the decimal moves right.

Q: What if I get confused between 0.33 and 0.333?

Count decimal places! $ \frac{33}{100} $ has exactly 2 digits in the numerator, so the answer has exactly 2 decimal places: 0.33.

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{33}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert to a decimal fraction.

00:08 First, take the numerator as a whole number.

00:12 Next, look at the denominator and move the decimal point accordingly.

00:17 For a denominator of one hundred, move the decimal point two places to the left.

00:25 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{33}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$33.0$

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

$.330$

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

$0.330=0.33$

Final Answer

0.33

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: $\frac{33}{100}$ becomes 33.0 → 0.33
Check: Verify 0.33 × 100 = 33 matches original numerator ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point wrong direction or wrong number of places
Don't move right when dividing by 100 = gives 3300 instead of 0.33! This happens when confusing multiplication with division. Always move decimal left when dividing by powers of 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

Why does dividing by 100 move the decimal two places left?

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 (two zeros) moves the decimal two places left.

What if my fraction doesn't have 10, 100, or 1000 in the denominator?

Then you'll need to use long division instead of the decimal point method. This shortcut only works with denominators that are powers of 10.

Do I need to write trailing zeros like 0.330?

No! $0.33$ and $0.330$ are equal. You can drop trailing zeros after the decimal point to get the simplest form.

How do I remember which way to move the decimal?

Think: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so the decimal moves right.

What if I get confused between 0.33 and 0.333?

Count decimal places! $\frac{33}{100}$ has exactly 2 digits in the numerator, so the answer has exactly 2 decimal places: 0.33.

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