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

Mixed Number Conversion with Hundredths Place

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

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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

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

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

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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?

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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?

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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?

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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?

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

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