Answer: 0.1860 as a fraction is 93/500
Converting the decimal number 0.1860 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 0.1860 can be broken down as:
0.1860 = 0 + 0.186
Here, 0 is the whole number part, and 0.186 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.186, to a fraction. To do this, consider the place value of the decimal:
0.186 =
186
1000
Now, simplify the fraction 186/1000. To do this, find the greatest common divisor (GCD) of 186 and 1000.
Now, divide both the numerator and the denominator by their GCD:
186 ÷ 2
1000 ÷ 2
=
93
500
So, 0.186 as a fraction is 93/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1860 = 0 + 0.186, express the entire number as a mixed fraction:
0.1860
= 0 +
93
500
=
0
500
+
93
500
=
93
500
Here, 0/500 is the whole number 0, and 93/500 is the fractional part.
Final Result: Fraction Form of 0.1860 After simplifying, we get the final fraction:
Answer: 0.1860 = 93/500
Converting 0.1860 to a fraction results in 93/500. 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.