Answer: 0.1870 as a fraction is 187/1000
Converting the decimal number 0.1870 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 0.1870 can be broken down as:
0.1870 = 0 + 0.187
Here, 0 is the whole number part, and 0.187 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.187, to a fraction. To do this, consider the place value of the decimal:
0.187 =
187
1000
Now, simplify the fraction 187/1000. To do this, find the greatest common divisor (GCD) of 187 and 1000.
Now, divide both the numerator and the denominator by their GCD:
187 ÷ 1
1000 ÷ 1
=
187
1000
So, 0.187 as a fraction is 187/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1870 = 0 + 0.187, express the entire number as a mixed fraction:
0.1870
= 0 +
187
1000
=
0
1000
+
187
1000
=
187
1000
Here, 0/1000 is the whole number 0, and 187/1000 is the fractional part.
Final Result: Fraction Form of 0.1870 After simplifying, we get the final fraction:
Answer: 0.1870 = 187/1000
Converting 0.1870 to a fraction results in 187/1000. 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.