Answer: 0.1888 as a fraction is 118/625
Converting the decimal number 0.1888 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 0.1888 can be broken down as:
0.1888 = 0 + 0.1888
Here, 0 is the whole number part, and 0.1888 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1888, to a fraction. To do this, consider the place value of the decimal:
0.1888 =
1888
10000
Now, simplify the fraction 1888/10000. To do this, find the greatest common divisor (GCD) of 1888 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1888 ÷ 16
10000 ÷ 16
=
118
625
So, 0.1888 as a fraction is 118/625
Step 4: Combine the Whole Number and FractionNow that you have 0.1888 = 0 + 0.1888, express the entire number as a mixed fraction:
0.1888
= 0 +
118
625
=
0
625
+
118
625
=
118
625
Here, 0/625 is the whole number 0, and 118/625 is the fractional part.
Final Result: Fraction Form of 0.1888 After simplifying, we get the final fraction:
Answer: 0.1888 = 118/625
Converting 0.1888 to a fraction results in 118/625. 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.