Answer: 0.0884 as a fraction is 221/2500
Converting the decimal number 0.0884 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 0.0884 can be broken down as:
0.0884 = 0 + 0.0884
Here, 0 is the whole number part, and 0.0884 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0884, to a fraction. To do this, consider the place value of the decimal:
0.0884 =
884
10000
Now, simplify the fraction 884/10000. To do this, find the greatest common divisor (GCD) of 884 and 10000.
Now, divide both the numerator and the denominator by their GCD:
884 ÷ 4
10000 ÷ 4
=
221
2500
So, 0.0884 as a fraction is 221/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.0884 = 0 + 0.0884, express the entire number as a mixed fraction:
0.0884
= 0 +
221
2500
=
0
2500
+
221
2500
=
221
2500
Here, 0/2500 is the whole number 0, and 221/2500 is the fractional part.
Final Result: Fraction Form of 0.0884 After simplifying, we get the final fraction:
Answer: 0.0884 = 221/2500
Converting 0.0884 to a fraction results in 221/2500. 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.