Answer: 1.5793 as a fraction is 987.0625/625
Converting the decimal number 1.5793 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 1.5793 can be broken down as:
1.5793 = 1 + 0.5793
Here, 1 is the whole number part, and 0.5793 is the decimal part.
Focus on converting the decimal part, 0.5793, to a fraction. To do this, consider the place value of the decimal:
0.5793 =
5793
10000
Now, simplify the fraction 5793/10000. To do this, find the greatest common divisor (GCD) of 5793 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5793 ÷ 16
10000 ÷ 16
=
362.0625
625
So, 0.5793 as a fraction is 362.0625/625
Now that you have 1.5793 = 1 + 0.5793, express the entire number as a mixed fraction:
1.5793
= 1 +
362.0625
625
=
625
625
+
362.0625
625
=
987.0625
625
Here, 625/625 is the whole number 1, and 362.0625/625 is the fractional part.
Answer: 1.5793 = 987.0625/625
Converting 1.5793 to a fraction results in 987.0625/625. 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.