Answer: 0.1722 as a fraction is 861/5000
Converting the decimal number 0.1722 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 0.1722 can be broken down as:
0.1722 = 0 + 0.1722
Here, 0 is the whole number part, and 0.1722 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1722, to a fraction. To do this, consider the place value of the decimal:
0.1722 =
1722
10000
Now, simplify the fraction 1722/10000. To do this, find the greatest common divisor (GCD) of 1722 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1722 ÷ 2
10000 ÷ 2
=
861
5000
So, 0.1722 as a fraction is 861/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1722 = 0 + 0.1722, express the entire number as a mixed fraction:
0.1722
= 0 +
861
5000
=
0
5000
+
861
5000
=
861
5000
Here, 0/5000 is the whole number 0, and 861/5000 is the fractional part.
Final Result: Fraction Form of 0.1722 After simplifying, we get the final fraction:
Answer: 0.1722 = 861/5000
Converting 0.1722 to a fraction results in 861/5000. 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.