Answer: 0.7391 as a fraction is 7391/10000
Converting the decimal number 0.7391 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 0.7391 can be broken down as:
0.7391 = 0 + 0.7391
Here, 0 is the whole number part, and 0.7391 is the decimal part.
Focus on converting the decimal part, 0.7391, to a fraction. To do this, consider the place value of the decimal:
0.7391 =
7391
10000
Now, simplify the fraction 7391/10000. To do this, find the greatest common divisor (GCD) of 7391 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7391 ÷ 1
10000 ÷ 1
=
7391
10000
So, 0.7391 as a fraction is 7391/10000
Now that you have 0.7391 = 0 + 0.7391, express the entire number as a mixed fraction:
0.7391
= 0 +
7391
10000
=
0
10000
+
7391
10000
=
7391
10000
Here, 0/10000 is the whole number 0, and 7391/10000 is the fractional part.
Answer: 0.7391 = 7391/10000
Converting 0.7391 to a fraction results in 7391/10000. 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.