Answer: 0.1222 as a fraction is 611/5000
Converting the decimal number 0.1222 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.
Step 1: Understand the DecimalThe decimal 0.1222 can be broken down as:
0.1222 = 0 + 0.1222
Here, 0 is the whole number part, and 0.1222 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1222, to a fraction. To do this, consider the place value of the decimal:
0.1222 =
1222
10000
Now, simplify the fraction 1222/10000. To do this, find the greatest common divisor (GCD) of 1222 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1222 ÷ 2
10000 ÷ 2
=
611
5000
So, 0.1222 as a fraction is 611/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1222 = 0 + 0.1222, express the entire number as a mixed fraction:
0.1222
= 0 +
611
5000
=
0
5000
+
611
5000
=
611
5000
Here, 0/5000 is the whole number 0, and 611/5000 is the fractional part.
Final Result: Fraction Form of 0.1222 After simplifying, we get the final fraction:
Answer: 0.1222 = 611/5000
Converting 0.1222 to a fraction results in 611/5000. 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.