Answer: 0.0855 as a fraction is 171/2000
Converting the decimal number 0.0855 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 0.0855 can be broken down as:
0.0855 = 0 + 0.0855
Here, 0 is the whole number part, and 0.0855 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0855, to a fraction. To do this, consider the place value of the decimal:
0.0855 =
855
10000
Now, simplify the fraction 855/10000. To do this, find the greatest common divisor (GCD) of 855 and 10000.
Now, divide both the numerator and the denominator by their GCD:
855 ÷ 5
10000 ÷ 5
=
171
2000
So, 0.0855 as a fraction is 171/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0855 = 0 + 0.0855, express the entire number as a mixed fraction:
0.0855
= 0 +
171
2000
=
0
2000
+
171
2000
=
171
2000
Here, 0/2000 is the whole number 0, and 171/2000 is the fractional part.
Final Result: Fraction Form of 0.0855 After simplifying, we get the final fraction:
Answer: 0.0855 = 171/2000
Converting 0.0855 to a fraction results in 171/2000. 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.