Answer: 0.2110 as a fraction is 211/1000
Converting the decimal number 0.2110 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 0.2110 can be broken down as:
0.2110 = 0 + 0.211
Here, 0 is the whole number part, and 0.211 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.211, to a fraction. To do this, consider the place value of the decimal:
0.211 =
211
1000
Now, simplify the fraction 211/1000. To do this, find the greatest common divisor (GCD) of 211 and 1000.
Now, divide both the numerator and the denominator by their GCD:
211 ÷ 1
1000 ÷ 1
=
211
1000
So, 0.211 as a fraction is 211/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.2110 = 0 + 0.211, express the entire number as a mixed fraction:
0.2110
= 0 +
211
1000
=
0
1000
+
211
1000
=
211
1000
Here, 0/1000 is the whole number 0, and 211/1000 is the fractional part.
Final Result: Fraction Form of 0.2110 After simplifying, we get the final fraction:
Answer: 0.2110 = 211/1000
Converting 0.2110 to a fraction results in 211/1000. 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.