Answer: 0.7285 as a fraction is 1457/2000
Converting the decimal number 0.7285 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 0.7285 can be broken down as:
0.7285 = 0 + 0.7285
Here, 0 is the whole number part, and 0.7285 is the decimal part.
Focus on converting the decimal part, 0.7285, to a fraction. To do this, consider the place value of the decimal:
0.7285 =
7285
10000
Now, simplify the fraction 7285/10000. To do this, find the greatest common divisor (GCD) of 7285 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7285 ÷ 5
10000 ÷ 5
=
1457
2000
So, 0.7285 as a fraction is 1457/2000
Now that you have 0.7285 = 0 + 0.7285, express the entire number as a mixed fraction:
0.7285
= 0 +
1457
2000
=
0
2000
+
1457
2000
=
1457
2000
Here, 0/2000 is the whole number 0, and 1457/2000 is the fractional part.
Answer: 0.7285 = 1457/2000
Converting 0.7285 to a fraction results in 1457/2000. 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.