Answer: 0.1706 as a fraction is 853/5000
Converting the decimal number 0.1706 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 0.1706 can be broken down as:
0.1706 = 0 + 0.1706
Here, 0 is the whole number part, and 0.1706 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1706, to a fraction. To do this, consider the place value of the decimal:
0.1706 =
1706
10000
Now, simplify the fraction 1706/10000. To do this, find the greatest common divisor (GCD) of 1706 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1706 ÷ 2
10000 ÷ 2
=
853
5000
So, 0.1706 as a fraction is 853/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1706 = 0 + 0.1706, express the entire number as a mixed fraction:
0.1706
= 0 +
853
5000
=
0
5000
+
853
5000
=
853
5000
Here, 0/5000 is the whole number 0, and 853/5000 is the fractional part.
Final Result: Fraction Form of 0.1706 After simplifying, we get the final fraction:
Answer: 0.1706 = 853/5000
Converting 0.1706 to a fraction results in 853/5000. 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.