Answer: 0.0161 as a fraction is 161/10000
Converting the decimal number 0.0161 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 0.0161 can be broken down as:
0.0161 = 0 + 0.0161
Here, 0 is the whole number part, and 0.0161 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0161, to a fraction. To do this, consider the place value of the decimal:
0.0161 =
161
10000
Now, simplify the fraction 161/10000. To do this, find the greatest common divisor (GCD) of 161 and 10000.
Now, divide both the numerator and the denominator by their GCD:
161 ÷ 1
10000 ÷ 1
=
161
10000
So, 0.0161 as a fraction is 161/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0161 = 0 + 0.0161, express the entire number as a mixed fraction:
0.0161
= 0 +
161
10000
=
0
10000
+
161
10000
=
161
10000
Here, 0/10000 is the whole number 0, and 161/10000 is the fractional part.
Final Result: Fraction Form of 0.0161 After simplifying, we get the final fraction:
Answer: 0.0161 = 161/10000
Converting 0.0161 to a fraction results in 161/10000. 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.