Answer: 0.1220 as a fraction is 61/500
Converting the decimal number 0.1220 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 0.1220 can be broken down as:
0.1220 = 0 + 0.122
Here, 0 is the whole number part, and 0.122 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.122, to a fraction. To do this, consider the place value of the decimal:
0.122 =
122
1000
Now, simplify the fraction 122/1000. To do this, find the greatest common divisor (GCD) of 122 and 1000.
Now, divide both the numerator and the denominator by their GCD:
122 ÷ 2
1000 ÷ 2
=
61
500
So, 0.122 as a fraction is 61/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1220 = 0 + 0.122, express the entire number as a mixed fraction:
0.1220
= 0 +
61
500
=
0
500
+
61
500
=
61
500
Here, 0/500 is the whole number 0, and 61/500 is the fractional part.
Final Result: Fraction Form of 0.1220 After simplifying, we get the final fraction:
Answer: 0.1220 = 61/500
Converting 0.1220 to a fraction results in 61/500. 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.