Convert Decimal to Fraction: Transforming 1000.6 to Mixed Number Form

Question

Convert 1000.6 into a fraction.

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

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 $\frac{6}{10}$ 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 $1000\frac{6}{10}$ .

Thus, the decimal 1000.6 as a mixed fraction is $1000\frac{6}{10}$ .

$1000\frac{6}{10}$