Fraction to Decimal: Transform 3/100 into Decimal Notation

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

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 means moving the decimal point two places to the left.

Q: What if my numerator is smaller than 10?

You'll need to add a leading zero before the decimal point! For example, $ \frac{3}{100} $ becomes 0.03, not just .03.

Q: How is this different from dividing by 10?

Dividing by 10 moves the decimal one place left (tenths), but dividing by 100 moves it two places left (hundredths). $ \frac{3}{10} = 0.3 $ vs $ \frac{3}{100} = 0.03 $

Q: What about fractions like 25/100?

Same rule applies! $ \frac{25}{100} = 0.25 $. You can also simplify first: $ \frac{25}{100} = \frac{1}{4} = 0.25 $

Fraction to Decimal with Denominators of 100

Write the following fraction as a decimal:

$\frac{3}{100}=$

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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 And according to the denominator, move the decimal point

00:12 When the denominator equals 100, move the decimal point 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

Write the following fraction as a decimal:

$\frac{3}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$3.0$

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

$.030$

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

$0.030=0.03$

Final Answer

0.03

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with 100 as denominator convert to hundredths place
Technique: Move decimal point two places left: 3 ÷ 100 = 0.03
Check: Multiply back: 0.03 × 100 = 3, confirming our answer ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point only one place left
Don't move the decimal just one place for 100 = 0.3! This gives tenths instead of hundredths and makes your answer 10 times too large. Always move the decimal point two places left when dividing by 100.

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 two places for 100?

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 means moving the decimal point two places to the left.

What if my numerator is smaller than 10?

You'll need to add a leading zero before the decimal point! For example, $\frac{3}{100}$ becomes 0.03, not just .03.

How is this different from dividing by 10?

Dividing by 10 moves the decimal one place left (tenths), but dividing by 100 moves it two places left (hundredths). $\frac{3}{10} = 0.3$ vs $\frac{3}{100} = 0.03$

Can I use long division instead?

Yes, but it's much slower! Long division of 3 ÷ 100 gives 0.03, but the decimal place rule is faster and less error-prone.

What about fractions like 25/100?

Same rule applies! $\frac{25}{100} = 0.25$ . You can also simplify first: $\frac{25}{100} = \frac{1}{4} = 0.25$

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