Answer: 0.1620 as a fraction is 81/500
Converting the decimal number 0.1620 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 0.1620 can be broken down as:
0.1620 = 0 + 0.162
Here, 0 is the whole number part, and 0.162 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.162, to a fraction. To do this, consider the place value of the decimal:
0.162 =
162
1000
Now, simplify the fraction 162/1000. To do this, find the greatest common divisor (GCD) of 162 and 1000.
Now, divide both the numerator and the denominator by their GCD:
162 ÷ 2
1000 ÷ 2
=
81
500
So, 0.162 as a fraction is 81/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1620 = 0 + 0.162, express the entire number as a mixed fraction:
0.1620
= 0 +
81
500
=
0
500
+
81
500
=
81
500
Here, 0/500 is the whole number 0, and 81/500 is the fractional part.
Final Result: Fraction Form of 0.1620 After simplifying, we get the final fraction:
Answer: 0.1620 = 81/500
Converting 0.1620 to a fraction results in 81/500. 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.