Answer: 0.0545 as a fraction is 109/2000
Converting the decimal number 0.0545 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 0.0545 can be broken down as:
0.0545 = 0 + 0.0545
Here, 0 is the whole number part, and 0.0545 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0545, to a fraction. To do this, consider the place value of the decimal:
0.0545 =
545
10000
Now, simplify the fraction 545/10000. To do this, find the greatest common divisor (GCD) of 545 and 10000.
Now, divide both the numerator and the denominator by their GCD:
545 ÷ 5
10000 ÷ 5
=
109
2000
So, 0.0545 as a fraction is 109/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0545 = 0 + 0.0545, express the entire number as a mixed fraction:
0.0545
= 0 +
109
2000
=
0
2000
+
109
2000
=
109
2000
Here, 0/2000 is the whole number 0, and 109/2000 is the fractional part.
Final Result: Fraction Form of 0.0545 After simplifying, we get the final fraction:
Answer: 0.0545 = 109/2000
Converting 0.0545 to a fraction results in 109/2000. 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.