Convert Mixed Number: Finding Decimal Form of 1 23/100

Mixed Number Conversion with Hundredths Place

123100= 1\frac{23}{100}=

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Step-by-step video solution

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00:00 Convert to decimal fraction
00:03 Break down the number into whole number and fraction
00:07 Convert from fraction to decimal fraction
00:32 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

123100= 1\frac{23}{100}=

2

Step-by-step solution

To solve this problem, we need to convert the mixed number 1231001\frac{23}{100} into a decimal.

  • Step 1: Convert the fraction 23100\frac{23}{100} into a decimal.

The fraction 23100\frac{23}{100} means that 23 is divided by 100. By performing this division, or by recognizing that dividing by 100 involves moving the decimal two places to the left, we convert it directly to the decimal:

23100=0.23\frac{23}{100} = 0.23

  • Step 2: Add the decimal obtained to the whole number, 1.

The whole number part of the original mixed number is 1. Therefore, adding this whole number to the decimal part from Step 1, we have:

1+0.23=1.231 + 0.23 = 1.23

Thus, the mixed number 1231001\frac{23}{100} converts to the decimal 1.231.23.

Therefore, the solution to the problem is 1.231.23.

3

Final Answer

1.23 1.23

Key Points to Remember

Essential concepts to master this topic
  • Rule: Mixed numbers equal whole number plus fractional part
  • Technique: Convert 23100 \frac{23}{100} to 0.23 by dividing
  • Check: Verify 1 + 0.23 = 1.23 matches original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Adding denominator to whole number
    Don't add 1 + 23 + 100 = 124! This ignores the fraction bar completely and creates a meaningless number. Always convert the fraction to decimal first, then add to the whole number.

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 dividing by 100 give me a decimal?

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Dividing by 100 moves the decimal point two places left. So 23 ÷ 100 becomes 0.23. This works because 100 = 10², and each power of 10 moves the decimal one place!

What if the fraction doesn't have 100 in the denominator?

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You can still convert! For example, 34 \frac{3}{4} = 0.75 by dividing 3 ÷ 4. Any fraction can become a decimal through division.

Is 1.23 the same as 1.230?

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Yes! Adding zeros after the last decimal digit doesn't change the value. Both represent exactly the same number, just like 5 and 5.0 are equal.

How do I remember which number goes where?

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Think of it as whole + part. The whole number (1) stays as is, and the fraction part (23100 \frac{23}{100} ) becomes the decimal part (0.23).

What's the fastest way to convert fractions with 100?

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With denominators of 100, just move the decimal two places left. So 23100 \frac{23}{100} becomes 0.23 instantly - no division needed!

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