Answer: 1.3034 as a fraction is 13034/10000
Converting the decimal number 1.3034 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 1.3034 can be broken down as:
1.3034 = 1 + 0.3034
Here, 1 is the whole number part, and 0.3034 is the decimal part.
Focus on converting the decimal part, 0.3034, to a fraction. To do this, consider the place value of the decimal:
0.3034 =
3034
10000
Now, simplify the fraction 3034/10000. To do this, find the greatest common divisor (GCD) of 3034 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3034 ÷ 1
10000 ÷ 1
=
3034
10000
So, 0.3034 as a fraction is 3034/10000
Now that you have 1.3034 = 1 + 0.3034, express the entire number as a mixed fraction:
1.3034
= 1 +
3034
10000
=
10000
10000
+
3034
10000
=
13034
10000
Here, 10000/10000 is the whole number 1, and 3034/10000 is the fractional part.
Answer: 1.3034 = 13034/10000
Converting 1.3034 to a fraction results in 13034/10000. 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.