Answer: 1.3617 as a fraction is 851.0625/625
Converting the decimal number 1.3617 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 1.3617 can be broken down as:
1.3617 = 1 + 0.3617
Here, 1 is the whole number part, and 0.3617 is the decimal part.
Focus on converting the decimal part, 0.3617, to a fraction. To do this, consider the place value of the decimal:
0.3617 =
3617
10000
Now, simplify the fraction 3617/10000. To do this, find the greatest common divisor (GCD) of 3617 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3617 ÷ 16
10000 ÷ 16
=
226.0625
625
So, 0.3617 as a fraction is 226.0625/625
Now that you have 1.3617 = 1 + 0.3617, express the entire number as a mixed fraction:
1.3617
= 1 +
226.0625
625
=
625
625
+
226.0625
625
=
851.0625
625
Here, 625/625 is the whole number 1, and 226.0625/625 is the fractional part.
Answer: 1.3617 = 851.0625/625
Converting 1.3617 to a fraction results in 851.0625/625. 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.