Answer: 0.0438 as a fraction is 219/5000
Converting the decimal number 0.0438 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 0.0438 can be broken down as:
0.0438 = 0 + 0.0438
Here, 0 is the whole number part, and 0.0438 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0438, to a fraction. To do this, consider the place value of the decimal:
0.0438 =
438
10000
Now, simplify the fraction 438/10000. To do this, find the greatest common divisor (GCD) of 438 and 10000.
Now, divide both the numerator and the denominator by their GCD:
438 ÷ 2
10000 ÷ 2
=
219
5000
So, 0.0438 as a fraction is 219/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0438 = 0 + 0.0438, express the entire number as a mixed fraction:
0.0438
= 0 +
219
5000
=
0
5000
+
219
5000
=
219
5000
Here, 0/5000 is the whole number 0, and 219/5000 is the fractional part.
Final Result: Fraction Form of 0.0438 After simplifying, we get the final fraction:
Answer: 0.0438 = 219/5000
Converting 0.0438 to a fraction results in 219/5000. 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.