Answer: 0.1712 as a fraction is 107/625
Converting the decimal number 0.1712 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 0.1712 can be broken down as:
0.1712 = 0 + 0.1712
Here, 0 is the whole number part, and 0.1712 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1712, to a fraction. To do this, consider the place value of the decimal:
0.1712 =
1712
10000
Now, simplify the fraction 1712/10000. To do this, find the greatest common divisor (GCD) of 1712 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1712 ÷ 16
10000 ÷ 16
=
107
625
So, 0.1712 as a fraction is 107/625
Step 4: Combine the Whole Number and FractionNow that you have 0.1712 = 0 + 0.1712, express the entire number as a mixed fraction:
0.1712
= 0 +
107
625
=
0
625
+
107
625
=
107
625
Here, 0/625 is the whole number 0, and 107/625 is the fractional part.
Final Result: Fraction Form of 0.1712 After simplifying, we get the final fraction:
Answer: 0.1712 = 107/625
Converting 0.1712 to a fraction results in 107/625. 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.