Answer: 0.0017 as a fraction is 17/10000
Converting the decimal number 0.0017 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 0.0017 can be broken down as:
0.0017 = 0 + 0.0017
Here, 0 is the whole number part, and 0.0017 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0017, to a fraction. To do this, consider the place value of the decimal:
0.0017 =
17
10000
Now, simplify the fraction 17/10000. To do this, find the greatest common divisor (GCD) of 17 and 10000.
Now, divide both the numerator and the denominator by their GCD:
17 ÷ 1
10000 ÷ 1
=
17
10000
So, 0.0017 as a fraction is 17/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0017 = 0 + 0.0017, express the entire number as a mixed fraction:
0.0017
= 0 +
17
10000
=
0
10000
+
17
10000
=
17
10000
Here, 0/10000 is the whole number 0, and 17/10000 is the fractional part.
Final Result: Fraction Form of 0.0017 After simplifying, we get the final fraction:
Answer: 0.0017 = 17/10000
Converting 0.0017 to a fraction results in 17/10000. 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.