Answer: 1.0934 as a fraction is 10934/10000
Converting the decimal number 1.0934 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 1.0934 can be broken down as:
1.0934 = 1 + 0.0934
Here, 1 is the whole number part, and 0.0934 is the decimal part.
Focus on converting the decimal part, 0.0934, to a fraction. To do this, consider the place value of the decimal:
0.0934 =
934
10000
Now, simplify the fraction 934/10000. To do this, find the greatest common divisor (GCD) of 934 and 10000.
Now, divide both the numerator and the denominator by their GCD:
934 ÷ 1
10000 ÷ 1
=
934
10000
So, 0.0934 as a fraction is 934/10000
Now that you have 1.0934 = 1 + 0.0934, express the entire number as a mixed fraction:
1.0934
= 1 +
934
10000
=
10000
10000
+
934
10000
=
10934
10000
Here, 10000/10000 is the whole number 1, and 934/10000 is the fractional part.
Answer: 1.0934 = 10934/10000
Converting 1.0934 to a fraction results in 10934/10000. 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.