Convert Mixed Number: Express 1 9/100 as a Decimal

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

The denominator 100 has two zeros, which means the decimal needs two places after the decimal point. Think of it as 9 hundredths: $ \frac{9}{100} = 0.09 $.

Q: Can I just put the 9 after the decimal point?

Not directly! You need to consider the denominator. Since it's 100 (not 10), the 9 goes in the hundredths place, making it 0.09, not 0.9.

Q: What if the fraction was 9/10 instead?

Then it would be 0.9! With 10 in the denominator (one zero), the 9 goes in the tenths place. So $ 1\frac{9}{10} = 1.9 $.

Q: How can 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: Is there a faster way to do this?

Yes! For denominators like 10, 100, 1000, just move the decimal point in the numerator. For 9/100, start with 9.0 and move left 2 places to get 0.09.

Mixed Numbers with Decimal Conversion

$1\frac{9}{100}=$

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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 Break down the number into whole number and fraction

00:09 Convert to decimal fraction

00:20 Add

00:26 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

$1\frac{9}{100}=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the fractional part $\frac{9}{100}$ to a decimal form.
Step 2: Add the decimal result to the whole number part, which is 1.

Now, let's work through each step:
Step 1: The fraction $\frac{9}{100}$ can be directly converted to its decimal form $0.09$ by performing the division $9 \div 100$ .
Step 2: Adding the decimal form of the fraction, $0.09$ to the whole number 1, we get $1 + 0.09 = 1.09$ .

Therefore, the decimal form of $1\frac{9}{100}$ is $1.09$ .

Final Answer

$1.09$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction part to decimal, then add to whole number
Technique: Divide 9 ÷ 100 = 0.09, then 1 + 0.09 = 1.09
Check: Verify 1.09 equals 1 + 9/100 by converting back ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly when converting fraction
Don't write 9/100 as 0.9 instead of 0.09 = gives 1.9 instead of 1.09! This happens when you forget that 100 has two zeros, requiring two decimal places. Always count the zeros in the denominator to place the decimal point 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 become 0.09 and not 0.9?

The denominator 100 has two zeros, which means the decimal needs two places after the decimal point. Think of it as 9 hundredths: $\frac{9}{100} = 0.09$ .

Can I just put the 9 after the decimal point?

Not directly! You need to consider the denominator. Since it's 100 (not 10), the 9 goes in the hundredths place, making it 0.09, not 0.9.

What if the fraction was 9/10 instead?

Then it would be 0.9! With 10 in the denominator (one zero), the 9 goes in the tenths place. So $1\frac{9}{10} = 1.9$ .

How can 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.

Is there a faster way to do this?

Yes! For denominators like 10, 100, 1000, just move the decimal point in the numerator. For 9/100, start with 9.0 and move left 2 places to get 0.09.

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