Answer: 0.1868 as a fraction is 467/2500
Converting the decimal number 0.1868 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 0.1868 can be broken down as:
0.1868 = 0 + 0.1868
Here, 0 is the whole number part, and 0.1868 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1868, to a fraction. To do this, consider the place value of the decimal:
0.1868 =
1868
10000
Now, simplify the fraction 1868/10000. To do this, find the greatest common divisor (GCD) of 1868 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1868 ÷ 4
10000 ÷ 4
=
467
2500
So, 0.1868 as a fraction is 467/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1868 = 0 + 0.1868, express the entire number as a mixed fraction:
0.1868
= 0 +
467
2500
=
0
2500
+
467
2500
=
467
2500
Here, 0/2500 is the whole number 0, and 467/2500 is the fractional part.
Final Result: Fraction Form of 0.1868 After simplifying, we get the final fraction:
Answer: 0.1868 = 467/2500
Converting 0.1868 to a fraction results in 467/2500. 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.