Convert Decimal to Fraction: Transforming 0.007 to Simplified Form

Convert 0.007 into a fraction.

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Step-by-step video solution

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00:00 Convert to simple fraction
00:03 Move the decimal point right until the number is whole
00:06 In a decimal fraction, the denominator must be a multiple of 10
00:10 We moved the decimal point 3 places right
00:13 Therefore we'll add three zeros to the denominator
00:19 Place the digits in the numerator
00:24 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Convert 0.007 into a fraction.

2

Step-by-step solution

To solve this problem of converting the decimal 0.007 into a fraction, follow these steps:

  • Step 1: Recognize the number of decimal places in 0.007, which is three.
  • Step 2: Write 0.007 as a fraction. Place 7 (the number without the decimal) over 1 followed by three zeros, giving us a denominator of 1000. This is because there are three digits after the decimal point.

The fraction form is 71000\frac{7}{1000}.

Thus, 0.007 converted into a fraction is 71000\frac{7}{1000}.

3

Final Answer

71000 \frac{7}{1000}

Practice Quiz

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Write the following fraction as a decimal:

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

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