Answer: 0.1840 as a fraction is 23/125
Converting the decimal number 0.1840 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 0.1840 can be broken down as:
0.1840 = 0 + 0.184
Here, 0 is the whole number part, and 0.184 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.184, to a fraction. To do this, consider the place value of the decimal:
0.184 =
184
1000
Now, simplify the fraction 184/1000. To do this, find the greatest common divisor (GCD) of 184 and 1000.
Now, divide both the numerator and the denominator by their GCD:
184 ÷ 8
1000 ÷ 8
=
23
125
So, 0.184 as a fraction is 23/125
Step 4: Combine the Whole Number and FractionNow that you have 0.1840 = 0 + 0.184, express the entire number as a mixed fraction:
0.1840
= 0 +
23
125
=
0
125
+
23
125
=
23
125
Here, 0/125 is the whole number 0, and 23/125 is the fractional part.
Final Result: Fraction Form of 0.1840 After simplifying, we get the final fraction:
Answer: 0.1840 = 23/125
Converting 0.1840 to a fraction results in 23/125. 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.