Answer: 1.0388 as a fraction is 10388/10000
Converting the decimal number 1.0388 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 1.0388 can be broken down as:
1.0388 = 1 + 0.0388
Here, 1 is the whole number part, and 0.0388 is the decimal part.
Focus on converting the decimal part, 0.0388, to a fraction. To do this, consider the place value of the decimal:
0.0388 =
388
10000
Now, simplify the fraction 388/10000. To do this, find the greatest common divisor (GCD) of 388 and 10000.
Now, divide both the numerator and the denominator by their GCD:
388 ÷ 1
10000 ÷ 1
=
388
10000
So, 0.0388 as a fraction is 388/10000
Now that you have 1.0388 = 1 + 0.0388, express the entire number as a mixed fraction:
1.0388
= 1 +
388
10000
=
10000
10000
+
388
10000
=
10388
10000
Here, 10000/10000 is the whole number 1, and 388/10000 is the fractional part.
Answer: 1.0388 = 10388/10000
Converting 1.0388 to a fraction results in 10388/10000. 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.