Convert Mixed Number 3 7/100 to Decimal Form: Step-by-Step

Convert 37100 3\frac{7}{100} into a decimal.

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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
00:09 When the denominator equals 100, place the numerator 2 digits after
00:25 Add to decimal fraction
00:29 Use long addition for calculation
00:34 Calculate and place accordingly
00:50 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Convert 37100 3\frac{7}{100} into a decimal.

2

Step-by-step solution

To solve this problem, we need to convert the given mixed number 37100 3\frac{7}{100} into a decimal.

Step 1: Identify the fraction part of the mixed number, which is 7100 \frac{7}{100} .

Step 2: Convert the fraction 7100 \frac{7}{100} into a decimal. Since the denominator is 100, which is convenient for direct conversion, you simply interpret it as the number of hundredths:
7100=0.07 \frac{7}{100} = 0.07

Step 3: Combine this decimal with the whole number part of the mixed number. The integer part of the mixed number is 3. Therefore, adding the decimal we found:
3+0.07=3.07 3 + 0.07 = 3.07

Thus, the decimal representation of 37100 3\frac{7}{100} is 3.07\mathbf{3.07}.

3

Final Answer

3.07

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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