Converting the Fraction 19/100 to Decimal Form: Step-by-Step

Q: Why do I move the decimal point 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place. So $ \frac{19}{100} $ means 19 hundredths, which is 0.19.

Q: What if I don't see a decimal point in 19?

Every whole number has an invisible decimal point at the end! So 19 is really 19.0, making it easier to move the decimal point left.

Q: Do I need to keep the zero at the end of 0.190?

No! Trailing zeros after the decimal point don't change the value. So 0.190 = 0.19. You can drop the final zero.

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

Think: dividing makes numbers smaller. Since $ \frac{19}{100} $ is dividing, 19 becomes the smaller number 0.19.

Q: What if the fraction was 19/1000 instead?

With 1000 (3 zeros), you'd move the decimal point 3 places left: 19.000 becomes 0.019. More zeros = more decimal places!

Fraction to Decimal with Denominators of 100

Write the following fraction as a decimal:

$\frac{19}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

00:09 Take the top number, called the numerator, as is.

00:13 And then, look at the bottom number, the denominator.

00:17 If the denominator is one hundred, move the decimal point two places to the left.

00:23 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{19}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$19.0$

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

$.190$

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

$0.190=0.19$

Final Answer

0.19

Key Points to Remember

Essential concepts to master this topic

Rule: Denominators of 100 create hundredths in decimal form
Technique: Move decimal point 2 places left: 19.0 becomes 0.19
Check: Convert back: 0.19 = 19/100 confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong direction
Don't move the decimal point right when dividing by 100 = 190.0 instead of 0.19! This makes the number larger instead of smaller. Always move the decimal point 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 do I move the decimal point 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place. So $\frac{19}{100}$ means 19 hundredths, which is 0.19.

What if I don't see a decimal point in 19?

Every whole number has an invisible decimal point at the end! So 19 is really 19.0, making it easier to move the decimal point left.

Do I need to keep the zero at the end of 0.190?

No! Trailing zeros after the decimal point don't change the value. So 0.190 = 0.19. You can drop the final zero.

How do I remember which way to move the decimal?

Think: dividing makes numbers smaller. Since $\frac{19}{100}$ is dividing, 19 becomes the smaller number 0.19.

What if the fraction was 19/1000 instead?

With 1000 (3 zeros), you'd move the decimal point 3 places left: 19.000 becomes 0.019. More zeros = more decimal places!

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