Answer: 0.1698 as a fraction is 849/5000
Converting the decimal number 0.1698 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 0.1698 can be broken down as:
0.1698 = 0 + 0.1698
Here, 0 is the whole number part, and 0.1698 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1698, to a fraction. To do this, consider the place value of the decimal:
0.1698 =
1698
10000
Now, simplify the fraction 1698/10000. To do this, find the greatest common divisor (GCD) of 1698 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1698 ÷ 2
10000 ÷ 2
=
849
5000
So, 0.1698 as a fraction is 849/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1698 = 0 + 0.1698, express the entire number as a mixed fraction:
0.1698
= 0 +
849
5000
=
0
5000
+
849
5000
=
849
5000
Here, 0/5000 is the whole number 0, and 849/5000 is the fractional part.
Final Result: Fraction Form of 0.1698 After simplifying, we get the final fraction:
Answer: 0.1698 = 849/5000
Converting 0.1698 to a fraction results in 849/5000. 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.