Answer: 0.1697 as a fraction is 1697/10000
Converting the decimal number 0.1697 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 0.1697 can be broken down as:
0.1697 = 0 + 0.1697
Here, 0 is the whole number part, and 0.1697 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1697, to a fraction. To do this, consider the place value of the decimal:
0.1697 =
1697
10000
Now, simplify the fraction 1697/10000. To do this, find the greatest common divisor (GCD) of 1697 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1697 ÷ 1
10000 ÷ 1
=
1697
10000
So, 0.1697 as a fraction is 1697/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1697 = 0 + 0.1697, express the entire number as a mixed fraction:
0.1697
= 0 +
1697
10000
=
0
10000
+
1697
10000
=
1697
10000
Here, 0/10000 is the whole number 0, and 1697/10000 is the fractional part.
Final Result: Fraction Form of 0.1697 After simplifying, we get the final fraction:
Answer: 0.1697 = 1697/10000
Converting 0.1697 to a fraction results in 1697/10000. 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.