Answer: 0.1704 as a fraction is 213/1250
Converting the decimal number 0.1704 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 0.1704 can be broken down as:
0.1704 = 0 + 0.1704
Here, 0 is the whole number part, and 0.1704 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1704, to a fraction. To do this, consider the place value of the decimal:
0.1704 =
1704
10000
Now, simplify the fraction 1704/10000. To do this, find the greatest common divisor (GCD) of 1704 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1704 ÷ 8
10000 ÷ 8
=
213
1250
So, 0.1704 as a fraction is 213/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.1704 = 0 + 0.1704, express the entire number as a mixed fraction:
0.1704
= 0 +
213
1250
=
0
1250
+
213
1250
=
213
1250
Here, 0/1250 is the whole number 0, and 213/1250 is the fractional part.
Final Result: Fraction Form of 0.1704 After simplifying, we get the final fraction:
Answer: 0.1704 = 213/1250
Converting 0.1704 to a fraction results in 213/1250. 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.