Answer: 1.7993 as a fraction is 2249.125/1250
Converting the decimal number 1.7993 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 1.7993 can be broken down as:
1.7993 = 1 + 0.7993
Here, 1 is the whole number part, and 0.7993 is the decimal part.
Focus on converting the decimal part, 0.7993, to a fraction. To do this, consider the place value of the decimal:
0.7993 =
7993
10000
Now, simplify the fraction 7993/10000. To do this, find the greatest common divisor (GCD) of 7993 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7993 ÷ 8
10000 ÷ 8
=
999.125
1250
So, 0.7993 as a fraction is 999.125/1250
Now that you have 1.7993 = 1 + 0.7993, express the entire number as a mixed fraction:
1.7993
= 1 +
999.125
1250
=
1250
1250
+
999.125
1250
=
2249.125
1250
Here, 1250/1250 is the whole number 1, and 999.125/1250 is the fractional part.
Answer: 1.7993 = 2249.125/1250
Converting 1.7993 to a fraction results in 2249.125/1250. 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.