Answer: 0.0655 as a fraction is 131/2000
Converting the decimal number 0.0655 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 0.0655 can be broken down as:
0.0655 = 0 + 0.0655
Here, 0 is the whole number part, and 0.0655 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0655, to a fraction. To do this, consider the place value of the decimal:
0.0655 =
655
10000
Now, simplify the fraction 655/10000. To do this, find the greatest common divisor (GCD) of 655 and 10000.
Now, divide both the numerator and the denominator by their GCD:
655 ÷ 5
10000 ÷ 5
=
131
2000
So, 0.0655 as a fraction is 131/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0655 = 0 + 0.0655, express the entire number as a mixed fraction:
0.0655
= 0 +
131
2000
=
0
2000
+
131
2000
=
131
2000
Here, 0/2000 is the whole number 0, and 131/2000 is the fractional part.
Final Result: Fraction Form of 0.0655 After simplifying, we get the final fraction:
Answer: 0.0655 = 131/2000
Converting 0.0655 to a fraction results in 131/2000. 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.