Answer: 0.9050 as a fraction is 181/200
Converting the decimal number 0.9050 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 0.9050 can be broken down as:
0.9050 = 0 + 0.905
Here, 0 is the whole number part, and 0.905 is the decimal part.
Focus on converting the decimal part, 0.905, to a fraction. To do this, consider the place value of the decimal:
0.905 =
905
1000
Now, simplify the fraction 905/1000. To do this, find the greatest common divisor (GCD) of 905 and 1000.
Now, divide both the numerator and the denominator by their GCD:
905 ÷ 5
1000 ÷ 5
=
181
200
So, 0.905 as a fraction is 181/200
Now that you have 0.9050 = 0 + 0.905, express the entire number as a mixed fraction:
0.9050
= 0 +
181
200
=
0
200
+
181
200
=
181
200
Here, 0/200 is the whole number 0, and 181/200 is the fractional part.
Answer: 0.9050 = 181/200
Converting 0.9050 to a fraction results in 181/200. 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.