Convert Mixed Number: Transforming 3 1/25 to Decimal

3125= 3\frac{1}{25}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's convert the number into a decimal fraction.
00:07 First, break it down into a whole number and a fraction.
00:13 We want the denominator to be a multiple of ten.
00:18 Remember to multiply both the numerator and denominator the same way.
00:28 Now, let's turn that into a decimal fraction.
00:40 Add the parts together.
00:49 And that's how you solve the problem!

Step-by-step written solution

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1

Understand the problem

3125= 3\frac{1}{25}=

2

Step-by-step solution

To convert the mixed number 31253\frac{1}{25} to a decimal, follow these steps:

  • Step 1: Identify the fraction part 125\frac{1}{25}.
  • Step 2: Convert 125\frac{1}{25} to an equivalent fraction with a denominator of 100, which involves multiplying both the numerator and the denominator by 4:
    • 125×44=4100\frac{1}{25} \times \frac{4}{4} = \frac{4}{100}.
  • Step 3: Convert the fraction 4100\frac{4}{100} to a decimal, which is 0.040.04.
  • Step 4: Add this decimal to the whole number 3 to get the final decimal:
    • 3 + 0.04 = 3.04

Thus, the mixed number 31253\frac{1}{25} converts to the decimal 3.043.04.

The correct answer is 3.043.04.

3

Final Answer

3.04 \text{3}.04

Practice Quiz

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Write the following fraction as a decimal:

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

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