Answer: 0.0845 as a fraction is 169/2000
Converting the decimal number 0.0845 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 0.0845 can be broken down as:
0.0845 = 0 + 0.0845
Here, 0 is the whole number part, and 0.0845 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0845, to a fraction. To do this, consider the place value of the decimal:
0.0845 =
845
10000
Now, simplify the fraction 845/10000. To do this, find the greatest common divisor (GCD) of 845 and 10000.
Now, divide both the numerator and the denominator by their GCD:
845 ÷ 5
10000 ÷ 5
=
169
2000
So, 0.0845 as a fraction is 169/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0845 = 0 + 0.0845, express the entire number as a mixed fraction:
0.0845
= 0 +
169
2000
=
0
2000
+
169
2000
=
169
2000
Here, 0/2000 is the whole number 0, and 169/2000 is the fractional part.
Final Result: Fraction Form of 0.0845 After simplifying, we get the final fraction:
Answer: 0.0845 = 169/2000
Converting 0.0845 to a fraction results in 169/2000. 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.