Convert Mixed Number: Finding the Decimal for 1 1/25

1125= 1\frac{1}{25}=

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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
00:08 Reduce the fraction, make sure to divide both numerator and denominator
00:11 We want the denominator to be some multiple of 10 and 10
00:30 Let's add
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

1125= 1\frac{1}{25}=

2

Step-by-step solution

To convert 11251\frac{1}{25} into a decimal, we proceed as follows:

  • Step 1: Identify the fractional part 125\frac{1}{25}.
  • Step 2: Convert 125\frac{1}{25} into a fraction with a denominator of 100, because 100 is a multiple of 25. We do this by finding an appropriate factor: 1×425×4=4100 \frac{1 \times 4}{25 \times 4} = \frac{4}{100} .
  • Step 3: Convert 4100\frac{4}{100} into a decimal, which is 0.040.04.
  • Step 4: Add this decimal to the whole number 1. Therefore, 1+0.04=1.04 1 + 0.04 = 1.04 .

Thus, the solution to the problem is 1.04 1.04 .

3

Final Answer

1.04 1.04

Practice Quiz

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Write the following fraction as a decimal:

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

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