Answer: 0.0555 as a fraction is 111/2000
Converting the decimal number 0.0555 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 0.0555 can be broken down as:
0.0555 = 0 + 0.0555
Here, 0 is the whole number part, and 0.0555 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0555, to a fraction. To do this, consider the place value of the decimal:
0.0555 =
555
10000
Now, simplify the fraction 555/10000. To do this, find the greatest common divisor (GCD) of 555 and 10000.
Now, divide both the numerator and the denominator by their GCD:
555 ÷ 5
10000 ÷ 5
=
111
2000
So, 0.0555 as a fraction is 111/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0555 = 0 + 0.0555, express the entire number as a mixed fraction:
0.0555
= 0 +
111
2000
=
0
2000
+
111
2000
=
111
2000
Here, 0/2000 is the whole number 0, and 111/2000 is the fractional part.
Final Result: Fraction Form of 0.0555 After simplifying, we get the final fraction:
Answer: 0.0555 = 111/2000
Converting 0.0555 to a fraction results in 111/2000. 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.