Answer: 1.5834 as a fraction is 15834/10000
Converting the decimal number 1.5834 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 1.5834 can be broken down as:
1.5834 = 1 + 0.5834
Here, 1 is the whole number part, and 0.5834 is the decimal part.
Focus on converting the decimal part, 0.5834, to a fraction. To do this, consider the place value of the decimal:
0.5834 =
5834
10000
Now, simplify the fraction 5834/10000. To do this, find the greatest common divisor (GCD) of 5834 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5834 ÷ 1
10000 ÷ 1
=
5834
10000
So, 0.5834 as a fraction is 5834/10000
Now that you have 1.5834 = 1 + 0.5834, express the entire number as a mixed fraction:
1.5834
= 1 +
5834
10000
=
10000
10000
+
5834
10000
=
15834
10000
Here, 10000/10000 is the whole number 1, and 5834/10000 is the fractional part.
Answer: 1.5834 = 15834/10000
Converting 1.5834 to a fraction results in 15834/10000. 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.