Answer: 0.0423 as a fraction is 423/10000
Converting the decimal number 0.0423 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 0.0423 can be broken down as:
0.0423 = 0 + 0.0423
Here, 0 is the whole number part, and 0.0423 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0423, to a fraction. To do this, consider the place value of the decimal:
0.0423 =
423
10000
Now, simplify the fraction 423/10000. To do this, find the greatest common divisor (GCD) of 423 and 10000.
Now, divide both the numerator and the denominator by their GCD:
423 ÷ 1
10000 ÷ 1
=
423
10000
So, 0.0423 as a fraction is 423/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0423 = 0 + 0.0423, express the entire number as a mixed fraction:
0.0423
= 0 +
423
10000
=
0
10000
+
423
10000
=
423
10000
Here, 0/10000 is the whole number 0, and 423/10000 is the fractional part.
Final Result: Fraction Form of 0.0423 After simplifying, we get the final fraction:
Answer: 0.0423 = 423/10000
Converting 0.0423 to a fraction results in 423/10000. 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.