Answer: 0.2007 as a fraction is 2007/10000
Converting the decimal number 0.2007 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
Step 1: Understand the DecimalThe decimal 0.2007 can be broken down as:
0.2007 = 0 + 0.2007
Here, 0 is the whole number part, and 0.2007 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2007, to a fraction. To do this, consider the place value of the decimal:
0.2007 =
2007
10000
Now, simplify the fraction 2007/10000. To do this, find the greatest common divisor (GCD) of 2007 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2007 ÷ 1
10000 ÷ 1
=
2007
10000
So, 0.2007 as a fraction is 2007/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2007 = 0 + 0.2007, express the entire number as a mixed fraction:
0.2007
= 0 +
2007
10000
=
0
10000
+
2007
10000
=
2007
10000
Here, 0/10000 is the whole number 0, and 2007/10000 is the fractional part.
Final Result: Fraction Form of 0.2007 After simplifying, we get the final fraction:
Answer: 0.2007 = 2007/10000
Converting 0.2007 to a fraction results in 2007/10000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.