Convert Mixed Number 1 29/100 to Decimal Form: Step-by-Step Solution

Mixed Number Conversion with Hundredths Place

129100= 1\frac{29}{100}=

❤️ 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
00:03 Let's convert this to a decimal fraction.
00:07 First, break down the number into a whole part and a fractional part.
00:11 Now, let's change that fraction into a decimal.
00:17 Next, add them together.
00:31 And there you have it, the solution to the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

129100= 1\frac{29}{100}=

2

Step-by-step solution

To solve this problem, we'll proceed as follows:

  • Step 1: Convert the fractional part 29100\frac{29}{100} to a decimal.
  • Step 2: Add the decimal value found in Step 1 to the whole number 1.

Now, let's work through these steps:
Step 1: The fraction 29100\frac{29}{100} represents a division of 29 by 100. Performing this division gives us 0.290.29.
Step 2: Next, we add this decimal 0.290.29 to the whole number 1. This results in:

1+0.29=1.291 + 0.29 = 1.29

Therefore, the decimal representation of 1291001\frac{29}{100} is 1.29 1.29 .

3

Final Answer

1.29 1.29

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert fraction part to decimal first, then add whole number
  • Technique: Divide numerator by denominator: 29100=0.29 \frac{29}{100} = 0.29
  • Check: Verify 1+0.29=1.29 1 + 0.29 = 1.29 matches original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Adding numerator and denominator separately to whole number
    Don't add 1 + 29 + 100 = 130! This ignores the fractional relationship and gives a completely wrong result. Always convert the fraction to decimal first, then add to the whole number.

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why does 29100 \frac{29}{100} equal 0.29?

+

When the denominator is 100, you're dividing by 100, which moves the decimal point two places left. So 29 ÷ 100 = 0.29, placing 29 in the hundredths place.

What if the fraction had a different denominator like 10 or 1000?

+

The process stays the same! 310=0.3 \frac{3}{10} = 0.3 and 1251000=0.125 \frac{125}{1000} = 0.125 . Just divide the numerator by the denominator to get the decimal.

Do I need to simplify the fraction first?

+

Not necessary! You can convert any fraction directly to decimal. However, if you want to simplify 29100 \frac{29}{100} first, it's already in lowest terms since 29 and 100 share no common factors.

How is this different from converting improper fractions?

+

Mixed numbers already separate the whole part from the fractional part. With improper fractions like 129100 \frac{129}{100} , you'd first divide to get 1 remainder 29, then convert the remainder.

What if I get confused about decimal places?

+

Remember: the denominator tells you the decimal places! 10 = tenths (1 place), 100 = hundredths (2 places), 1000 = thousandths (3 places), and so on.

🌟 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