Answer: 1.0022 as a fraction is 10022/10000
Converting the decimal number 1.0022 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 1.0022 can be broken down as:
1.0022 = 1 + 0.0022
Here, 1 is the whole number part, and 0.0022 is the decimal part.
Focus on converting the decimal part, 0.0022, to a fraction. To do this, consider the place value of the decimal:
0.0022 =
22
10000
Now, simplify the fraction 22/10000. To do this, find the greatest common divisor (GCD) of 22 and 10000.
Now, divide both the numerator and the denominator by their GCD:
22 ÷ 1
10000 ÷ 1
=
22
10000
So, 0.0022 as a fraction is 22/10000
Now that you have 1.0022 = 1 + 0.0022, express the entire number as a mixed fraction:
1.0022
= 1 +
22
10000
=
10000
10000
+
22
10000
=
10022
10000
Here, 10000/10000 is the whole number 1, and 22/10000 is the fractional part.
Answer: 1.0022 = 10022/10000
Converting 1.0022 to a fraction results in 10022/10000. 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.