Answer: 0.0854 as a fraction is 427/5000
Converting the decimal number 0.0854 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 0.0854 can be broken down as:
0.0854 = 0 + 0.0854
Here, 0 is the whole number part, and 0.0854 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0854, to a fraction. To do this, consider the place value of the decimal:
0.0854 =
854
10000
Now, simplify the fraction 854/10000. To do this, find the greatest common divisor (GCD) of 854 and 10000.
Now, divide both the numerator and the denominator by their GCD:
854 ÷ 2
10000 ÷ 2
=
427
5000
So, 0.0854 as a fraction is 427/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0854 = 0 + 0.0854, express the entire number as a mixed fraction:
0.0854
= 0 +
427
5000
=
0
5000
+
427
5000
=
427
5000
Here, 0/5000 is the whole number 0, and 427/5000 is the fractional part.
Final Result: Fraction Form of 0.0854 After simplifying, we get the final fraction:
Answer: 0.0854 = 427/5000
Converting 0.0854 to a fraction results in 427/5000. 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.