Convert Fraction to Decimal: Changing 73/100 to Decimal Form

Q: Why do I move the decimal point exactly two places for 100?

Because 100 has two zeros! Each zero represents one decimal place. So $ \frac{73}{100} $ means 73 hundredths, which is 0.73.

Q: What if the numerator has fewer digits than I need to move?

Add zeros to the left! For example, $ \frac{5}{100} $ becomes 05 → 0.05. The extra zero helps you move the decimal point correctly.

Q: Is 0.73 the same as 0.730?

Yes! They have the same value. However, 0.73 is the simplified form because we remove unnecessary trailing zeros after the decimal point.

Q: How do I know when to stop adding decimal places?

When dividing by 100, you'll always get exactly two decimal places or fewer. If your numerator has fewer than two digits, pad with zeros as needed.

Q: Can I use long division instead?

You could, but it's much easier to use the decimal place rule! Since 100 = 10², just move the decimal point two places left. It's faster and less prone to errors.

Fraction to Decimal with Denominators of 100

Convert $\frac{73}{100}$ into decimal form:

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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 When the denominator equals 100, the numerator is the decimal number

00:13 When dividing by 100, the decimal point moves twice to the left

00:17 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

Convert $\frac{73}{100}$ into decimal form:

Step-by-step solution

Let's write the simple fraction as a decimal fraction:

$73.0$

Since the fraction divides by 100, we move the decimal point two places to the left:

$.730$

We'll add a zero before the decimal point as follows:

$0.730=0.73$

Final Answer

0.73

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 100 convert directly to hundredths
Technique: Move decimal point two places left: 73 ÷ 100 = 0.73
Check: Verify 0.73 × 100 = 73 matches original numerator ✓

Common Mistakes

Avoid these frequent errors

Adding unnecessary zeros to the decimal
Don't write 0.730 as your final answer when you can simplify to 0.73! The extra zero doesn't change the value but makes your answer unnecessarily long. Always remove trailing zeros after the decimal point unless specifically required to show a certain number of 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 do I move the decimal point exactly two places for 100?

Because 100 has two zeros! Each zero represents one decimal place. So $\frac{73}{100}$ means 73 hundredths, which is 0.73.

What if the numerator has fewer digits than I need to move?

Add zeros to the left! For example, $\frac{5}{100}$ becomes 05 → 0.05. The extra zero helps you move the decimal point correctly.

Is 0.73 the same as 0.730?

Yes! They have the same value. However, 0.73 is the simplified form because we remove unnecessary trailing zeros after the decimal point.

How do I know when to stop adding decimal places?

When dividing by 100, you'll always get exactly two decimal places or fewer. If your numerator has fewer than two digits, pad with zeros as needed.

Can I use long division instead?

You could, but it's much easier to use the decimal place rule! Since 100 = 10², just move the decimal point two places left. It's faster and less prone to errors.

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