Answer: 0.1715 as a fraction is 343/2000
Converting the decimal number 0.1715 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 0.1715 can be broken down as:
0.1715 = 0 + 0.1715
Here, 0 is the whole number part, and 0.1715 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1715, to a fraction. To do this, consider the place value of the decimal:
0.1715 =
1715
10000
Now, simplify the fraction 1715/10000. To do this, find the greatest common divisor (GCD) of 1715 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1715 ÷ 5
10000 ÷ 5
=
343
2000
So, 0.1715 as a fraction is 343/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1715 = 0 + 0.1715, express the entire number as a mixed fraction:
0.1715
= 0 +
343
2000
=
0
2000
+
343
2000
=
343
2000
Here, 0/2000 is the whole number 0, and 343/2000 is the fractional part.
Final Result: Fraction Form of 0.1715 After simplifying, we get the final fraction:
Answer: 0.1715 = 343/2000
Converting 0.1715 to a fraction results in 343/2000. 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.