Answer: 0.2200 as a fraction is 11/50
Converting the decimal number 0.2200 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 0.2200 can be broken down as:
0.2200 = 0 + 0.22
Here, 0 is the whole number part, and 0.22 is the decimal part.
Focus on converting the decimal part, 0.22, to a fraction. To do this, consider the place value of the decimal:
0.22 =
22
100
Now, simplify the fraction 22/100. To do this, find the greatest common divisor (GCD) of 22 and 100.
Now, divide both the numerator and the denominator by their GCD:
22 ÷ 2
100 ÷ 2
=
11
50
So, 0.22 as a fraction is 11/50
Now that you have 0.2200 = 0 + 0.22, express the entire number as a mixed fraction:
0.2200
= 0 +
11
50
=
0
50
+
11
50
=
11
50
Here, 0/50 is the whole number 0, and 11/50 is the fractional part.
Answer: 0.2200 = 11/50
Converting 0.2200 to a fraction results in 11/50. 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.