Express 3.36 in Different Mathematical Forms: Decimal Conversion Practice

Decimal to Fraction with Hundredths Place

Convert into fraction form:

3.36= 3.36=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's convert this number to a decimal fraction.
00:08 Match the digit places after the decimal point with the correct division.
00:13 Put these digits in the numerator and the division in the denominator.
00:18 And that's how you solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert into fraction form:

3.36= 3.36=

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

336100 \frac{336}{100}

3

Final Answer

336100 \frac{336}{100}

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Count decimal digits to determine denominator power
  • Technique: Two decimal places means divide by 100, so 3.36 = 336/100
  • Check: Verify 336 ÷ 100 = 3.36 on calculator ✓

Common Mistakes

Avoid these frequent errors
  • Using wrong denominator based on decimal places
    Don't use 10 as denominator for 3.36 = wrong fraction 336/10 = 33.6! This ignores that TWO decimal places means hundredths. Always count decimal places: 1 place = tenths (÷10), 2 places = hundredths (÷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

How do I know whether to use 10, 100, or 1000 as the denominator?

+

Count the decimal places! One place after decimal = divide by 10, two places = divide by 100, three places = divide by 1000. Since 3.36 has two decimal places, use 100.

Why is 336/10 wrong if it gives me a number close to 3.36?

+

Because 33610=33.6 \frac{336}{10} = 33.6 , not 3.36! The decimal point position matters. Always match the number of decimal places to the denominator.

Do I need to simplify the fraction 336/100?

+

The question asks for fraction form, so 336100 \frac{336}{100} is correct as written. However, you could simplify it to 8425 \frac{84}{25} by dividing both by 4.

What if I accidentally put the decimal number as the numerator?

+

Never put the decimal 3.36 in the numerator! Remove the decimal point to get whole numbers: 3.36 becomes 336 in the numerator, with 100 in the denominator.

How can I remember the pattern for decimal places?

+
  • 1 decimal place = tenths = ÷10
  • 2 decimal places = hundredths = ÷100
  • 3 decimal places = thousandths = ÷1000

The pattern is: add one zero to the denominator for each decimal place!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations