Answer: 0.9080 as a fraction is 227/250
Converting the decimal number 0.9080 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 0.9080 can be broken down as:
0.9080 = 0 + 0.908
Here, 0 is the whole number part, and 0.908 is the decimal part.
Focus on converting the decimal part, 0.908, to a fraction. To do this, consider the place value of the decimal:
0.908 =
908
1000
Now, simplify the fraction 908/1000. To do this, find the greatest common divisor (GCD) of 908 and 1000.
Now, divide both the numerator and the denominator by their GCD:
908 ÷ 4
1000 ÷ 4
=
227
250
So, 0.908 as a fraction is 227/250
Now that you have 0.9080 = 0 + 0.908, express the entire number as a mixed fraction:
0.9080
= 0 +
227
250
=
0
250
+
227
250
=
227
250
Here, 0/250 is the whole number 0, and 227/250 is the fractional part.
Answer: 0.9080 = 227/250
Converting 0.9080 to a fraction results in 227/250. 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.