Answer: 0.7193 as a fraction is 7193/10000
Converting the decimal number 0.7193 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 0.7193 can be broken down as:
0.7193 = 0 + 0.7193
Here, 0 is the whole number part, and 0.7193 is the decimal part.
Focus on converting the decimal part, 0.7193, to a fraction. To do this, consider the place value of the decimal:
0.7193 =
7193
10000
Now, simplify the fraction 7193/10000. To do this, find the greatest common divisor (GCD) of 7193 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7193 ÷ 1
10000 ÷ 1
=
7193
10000
So, 0.7193 as a fraction is 7193/10000
Now that you have 0.7193 = 0 + 0.7193, express the entire number as a mixed fraction:
0.7193
= 0 +
7193
10000
=
0
10000
+
7193
10000
=
7193
10000
Here, 0/10000 is the whole number 0, and 7193/10000 is the fractional part.
Answer: 0.7193 = 7193/10000
Converting 0.7193 to a fraction results in 7193/10000. 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.