Convert Mixed Number 8 45/100 to Decimal Form: Step-by-Step

Mixed Number Conversion with Hundredths

Convert 845100 8\frac{45}{100} into a decimal fraction.

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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 remainder
00:10 When the denominator equals 100, place the numerator 2 digits after
00:29 Add to decimal fraction
00:41 Use long addition for calculation
00:48 Calculate and substitute accordingly
01:03 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert 845100 8\frac{45}{100} into a decimal fraction.

2

Step-by-step solution

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

  • Step 1: Identify and separate parts of the mixed number: The number is 845100 8\frac{45}{100} , with 8 as the whole number and 45100\frac{45}{100} as the fractional part.
  • Step 2: Convert the fractional part to a decimal: Given that the fraction is 45100\frac{45}{100}, we can express this as a decimal directly by understanding that the denominator 100 represents hundredths. Therefore, 45100=0.45\frac{45}{100} = 0.45.
  • Step 3: Combine the whole number with the decimal: Add the whole number 8 to the decimal 0.45, resulting in 8+0.45=8.45 8 + 0.45 = 8.45.

Therefore, the solution to the problem is that the mixed number 845100 8\frac{45}{100} can be expressed as the decimal fraction 8.45 8.45 .

So, the correct answer among the choices given is 8.45.

3

Final Answer

8.45

Key Points to Remember

Essential concepts to master this topic
  • Structure: Mixed number has whole part plus fractional part
  • Technique: Convert 45100=0.45 \frac{45}{100} = 0.45 by recognizing hundredths place
  • Check: Verify 8 + 0.45 = 8.45 matches the original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Placing decimal point incorrectly when converting fraction
    Don't convert 45100 \frac{45}{100} to 0.045 or 4.5 = wrong decimal placement! The denominator 100 means hundredths, so 45 hundredths is exactly 0.45. Always count decimal places based on the denominator's zeros.

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 where to put the decimal point?

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Look at the denominator! Since 100 has 2 zeros, the decimal goes 2 places from the right. So 45 becomes 0.45, not 0.045 or 4.5.

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

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You can still convert! For example, 34=0.75 \frac{3}{4} = 0.75 by dividing 3 ÷ 4. Or convert to an equivalent fraction with a power of 10 denominator first.

Why do I add the whole number and decimal together?

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A mixed number means "whole plus fraction". So 845100 8\frac{45}{100} literally means 8 + 45100 \frac{45}{100} , which equals 8 + 0.45 = 8.45.

Can I check my answer by converting back?

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Absolutely! Convert 8.45 back to a mixed number: 8.45 = 8 + 0.45 = 8 + 45100 \frac{45}{100} = 845100 8\frac{45}{100}

What's the difference between 8.45 and 8.045?

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Huge difference! 8.45 means 8 and 45 hundredths, while 8.045 means 8 and 45 thousandths. Always match your decimal places to the fraction's denominator.

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