Answer: 1.2202 as a fraction is 12202/10000
Converting the decimal number 1.2202 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 1.2202 can be broken down as:
1.2202 = 1 + 0.2202
Here, 1 is the whole number part, and 0.2202 is the decimal part.
Focus on converting the decimal part, 0.2202, to a fraction. To do this, consider the place value of the decimal:
0.2202 =
2202
10000
Now, simplify the fraction 2202/10000. To do this, find the greatest common divisor (GCD) of 2202 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2202 ÷ 1
10000 ÷ 1
=
2202
10000
So, 0.2202 as a fraction is 2202/10000
Now that you have 1.2202 = 1 + 0.2202, express the entire number as a mixed fraction:
1.2202
= 1 +
2202
10000
=
10000
10000
+
2202
10000
=
12202
10000
Here, 10000/10000 is the whole number 1, and 2202/10000 is the fractional part.
Answer: 1.2202 = 12202/10000
Converting 1.2202 to a fraction results in 12202/10000. 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.