Convert Decimal to Fraction: Transforming 1000.6 to Mixed Number Form

Convert 1000.6 into a fraction.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to mixed fraction
00:04 Break down the number into whole number and remainder
00:17 Convert the remainder to a fraction
00:20 The denominator depends on the number of digits after the decimal point
00:23 There is only one digit, so the denominator will be 10
00:27 Add to make a mixed fraction
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Convert 1000.6 into a fraction.

2

Step-by-step solution

To solve this problem, let's follow step-by-step instructions:

  • Step 1: Break down the number 1000.6 into two parts: the whole number part, which is 1000, and the decimal part, which is 0.6.
  • Step 2: Convert the decimal 0.6 to a fraction. The decimal 0.6 can be written as 610\frac{6}{10} because the 6 is in the tenths place.
  • Step 3: Combine the whole number and the fractional part to form a mixed number. Thus, 1000.6 becomes 10006101000\frac{6}{10}.

Thus, the decimal 1000.6 as a mixed fraction is 10006101000\frac{6}{10}.

3

Final Answer

1000610 1000\frac{6}{10}

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