Answer: 1.3597 as a fraction is 3399.25/2500
Converting the decimal number 1.3597 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 1.3597 can be broken down as:
1.3597 = 1 + 0.3597
Here, 1 is the whole number part, and 0.3597 is the decimal part.
Focus on converting the decimal part, 0.3597, to a fraction. To do this, consider the place value of the decimal:
0.3597 =
3597
10000
Now, simplify the fraction 3597/10000. To do this, find the greatest common divisor (GCD) of 3597 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3597 ÷ 4
10000 ÷ 4
=
899.25
2500
So, 0.3597 as a fraction is 899.25/2500
Now that you have 1.3597 = 1 + 0.3597, express the entire number as a mixed fraction:
1.3597
= 1 +
899.25
2500
=
2500
2500
+
899.25
2500
=
3399.25
2500
Here, 2500/2500 is the whole number 1, and 899.25/2500 is the fractional part.
Answer: 1.3597 = 3399.25/2500
Converting 1.3597 to a fraction results in 3399.25/2500. 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.