Answer: 0.7396 as a fraction is 1849/2500
Converting the decimal number 0.7396 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 0.7396 can be broken down as:
0.7396 = 0 + 0.7396
Here, 0 is the whole number part, and 0.7396 is the decimal part.
Focus on converting the decimal part, 0.7396, to a fraction. To do this, consider the place value of the decimal:
0.7396 =
7396
10000
Now, simplify the fraction 7396/10000. To do this, find the greatest common divisor (GCD) of 7396 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7396 ÷ 4
10000 ÷ 4
=
1849
2500
So, 0.7396 as a fraction is 1849/2500
Now that you have 0.7396 = 0 + 0.7396, express the entire number as a mixed fraction:
0.7396
= 0 +
1849
2500
=
0
2500
+
1849
2500
=
1849
2500
Here, 0/2500 is the whole number 0, and 1849/2500 is the fractional part.
Answer: 0.7396 = 1849/2500
Converting 0.7396 to a fraction results in 1849/2500. 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.