Answer: 0.1889 as a fraction is 1889/10000
Converting the decimal number 0.1889 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 0.1889 can be broken down as:
0.1889 = 0 + 0.1889
Here, 0 is the whole number part, and 0.1889 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1889, to a fraction. To do this, consider the place value of the decimal:
0.1889 =
1889
10000
Now, simplify the fraction 1889/10000. To do this, find the greatest common divisor (GCD) of 1889 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1889 ÷ 1
10000 ÷ 1
=
1889
10000
So, 0.1889 as a fraction is 1889/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1889 = 0 + 0.1889, express the entire number as a mixed fraction:
0.1889
= 0 +
1889
10000
=
0
10000
+
1889
10000
=
1889
10000
Here, 0/10000 is the whole number 0, and 1889/10000 is the fractional part.
Final Result: Fraction Form of 0.1889 After simplifying, we get the final fraction:
Answer: 0.1889 = 1889/10000
Converting 0.1889 to a fraction results in 1889/10000. 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.