Answer: 0.0380 as a fraction is 19/500
Converting the decimal number 0.0380 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 0.0380 can be broken down as:
0.0380 = 0 + 0.038
Here, 0 is the whole number part, and 0.038 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.038, to a fraction. To do this, consider the place value of the decimal:
0.038 =
38
1000
Now, simplify the fraction 38/1000. To do this, find the greatest common divisor (GCD) of 38 and 1000.
Now, divide both the numerator and the denominator by their GCD:
38 ÷ 2
1000 ÷ 2
=
19
500
So, 0.038 as a fraction is 19/500
Step 4: Combine the Whole Number and FractionNow that you have 0.0380 = 0 + 0.038, express the entire number as a mixed fraction:
0.0380
= 0 +
19
500
=
0
500
+
19
500
=
19
500
Here, 0/500 is the whole number 0, and 19/500 is the fractional part.
Final Result: Fraction Form of 0.0380 After simplifying, we get the final fraction:
Answer: 0.0380 = 19/500
Converting 0.0380 to a fraction results in 19/500. 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.