Convert Fraction to Decimal: Solving 4/100 Step by Step

Convert 4100 \frac{4}{100} into a decimal.

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Step-by-step video solution

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00:00 Convert to decimal fraction
00:03 Based on the number of zeros in the denominator, we'll know how many places to move the decimal point to the left:
00:07 There are two zeros in the denominator, so we'll move the decimal point two places to the left
00:10 Place the numerator in the appropriate position 2 digits after the decimal point
00:14 In the missing digit, place 0
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Convert 4100 \frac{4}{100} into a decimal.

2

Step-by-step solution

To convert the fraction 4100 \frac{4}{100} into a decimal, we follow these steps:

  • Step 1: Identify that we need to divide 4 by 100. In mathematical terms, this is written as 4÷100 4 \div 100 .
  • Step 2: Perform the division. When dividing 4 by 100, we can move the decimal point in 4 two places to the left because there are two zeros in 100.
  • Step 3: Moving the decimal point in 4 (which is 4.0) two places to the left, we shift from 4.0 to 0.04.

Therefore, the decimal representation of 4100 \frac{4}{100} is 0.04 0.04 .
Upon reviewing the provided choices, we see that option 3, 0.04 0.04 , corresponds exactly to our calculated result.

3

Final Answer

0.04

Practice Quiz

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Write the following fraction as a decimal:

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

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