Answer: 0.2043 as a fraction is 2043/10000
Converting the decimal number 0.2043 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 0.2043 can be broken down as:
0.2043 = 0 + 0.2043
Here, 0 is the whole number part, and 0.2043 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2043, to a fraction. To do this, consider the place value of the decimal:
0.2043 =
2043
10000
Now, simplify the fraction 2043/10000. To do this, find the greatest common divisor (GCD) of 2043 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2043 ÷ 1
10000 ÷ 1
=
2043
10000
So, 0.2043 as a fraction is 2043/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2043 = 0 + 0.2043, express the entire number as a mixed fraction:
0.2043
= 0 +
2043
10000
=
0
10000
+
2043
10000
=
2043
10000
Here, 0/10000 is the whole number 0, and 2043/10000 is the fractional part.
Final Result: Fraction Form of 0.2043 After simplifying, we get the final fraction:
Answer: 0.2043 = 2043/10000
Converting 0.2043 to a fraction results in 2043/10000. 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.