Answer: 0.1720 as a fraction is 43/250
Converting the decimal number 0.1720 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 0.1720 can be broken down as:
0.1720 = 0 + 0.172
Here, 0 is the whole number part, and 0.172 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.172, to a fraction. To do this, consider the place value of the decimal:
0.172 =
172
1000
Now, simplify the fraction 172/1000. To do this, find the greatest common divisor (GCD) of 172 and 1000.
Now, divide both the numerator and the denominator by their GCD:
172 ÷ 4
1000 ÷ 4
=
43
250
So, 0.172 as a fraction is 43/250
Step 4: Combine the Whole Number and FractionNow that you have 0.1720 = 0 + 0.172, express the entire number as a mixed fraction:
0.1720
= 0 +
43
250
=
0
250
+
43
250
=
43
250
Here, 0/250 is the whole number 0, and 43/250 is the fractional part.
Final Result: Fraction Form of 0.1720 After simplifying, we get the final fraction:
Answer: 0.1720 = 43/250
Converting 0.1720 to a fraction results in 43/250. 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.