Answer: 0.3800 as a fraction is 19/50
Converting the decimal number 0.3800 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.
The decimal 0.3800 can be broken down as:
0.3800 = 0 + 0.38
Here, 0 is the whole number part, and 0.38 is the decimal part.
Focus on converting the decimal part, 0.38, to a fraction. To do this, consider the place value of the decimal:
0.38 =
38
100
Now, simplify the fraction 38/100. To do this, find the greatest common divisor (GCD) of 38 and 100.
Now, divide both the numerator and the denominator by their GCD:
38 ÷ 2
100 ÷ 2
=
19
50
So, 0.38 as a fraction is 19/50
Now that you have 0.3800 = 0 + 0.38, express the entire number as a mixed fraction:
0.3800
= 0 +
19
50
=
0
50
+
19
50
=
19
50
Here, 0/50 is the whole number 0, and 19/50 is the fractional part.
Answer: 0.3800 = 19/50
Converting 0.3800 to a fraction results in 19/50. 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.