Answer: 0.1810 as a fraction is 181/1000
Converting the decimal number 0.1810 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 0.1810 can be broken down as:
0.1810 = 0 + 0.181
Here, 0 is the whole number part, and 0.181 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.181, to a fraction. To do this, consider the place value of the decimal:
0.181 =
181
1000
Now, simplify the fraction 181/1000. To do this, find the greatest common divisor (GCD) of 181 and 1000.
Now, divide both the numerator and the denominator by their GCD:
181 ÷ 1
1000 ÷ 1
=
181
1000
So, 0.181 as a fraction is 181/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1810 = 0 + 0.181, express the entire number as a mixed fraction:
0.1810
= 0 +
181
1000
=
0
1000
+
181
1000
=
181
1000
Here, 0/1000 is the whole number 0, and 181/1000 is the fractional part.
Final Result: Fraction Form of 0.1810 After simplifying, we get the final fraction:
Answer: 0.1810 = 181/1000
Converting 0.1810 to a fraction results in 181/1000. 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.