Answer: 0.1730 as a fraction is 173/1000
Converting the decimal number 0.1730 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 0.1730 can be broken down as:
0.1730 = 0 + 0.173
Here, 0 is the whole number part, and 0.173 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.173, to a fraction. To do this, consider the place value of the decimal:
0.173 =
173
1000
Now, simplify the fraction 173/1000. To do this, find the greatest common divisor (GCD) of 173 and 1000.
Now, divide both the numerator and the denominator by their GCD:
173 ÷ 1
1000 ÷ 1
=
173
1000
So, 0.173 as a fraction is 173/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1730 = 0 + 0.173, express the entire number as a mixed fraction:
0.1730
= 0 +
173
1000
=
0
1000
+
173
1000
=
173
1000
Here, 0/1000 is the whole number 0, and 173/1000 is the fractional part.
Final Result: Fraction Form of 0.1730 After simplifying, we get the final fraction:
Answer: 0.1730 = 173/1000
Converting 0.1730 to a fraction results in 173/1000. 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.