Answer: 0.1848 as a fraction is 231/1250
Converting the decimal number 0.1848 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 0.1848 can be broken down as:
0.1848 = 0 + 0.1848
Here, 0 is the whole number part, and 0.1848 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1848, to a fraction. To do this, consider the place value of the decimal:
0.1848 =
1848
10000
Now, simplify the fraction 1848/10000. To do this, find the greatest common divisor (GCD) of 1848 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1848 ÷ 8
10000 ÷ 8
=
231
1250
So, 0.1848 as a fraction is 231/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.1848 = 0 + 0.1848, express the entire number as a mixed fraction:
0.1848
= 0 +
231
1250
=
0
1250
+
231
1250
=
231
1250
Here, 0/1250 is the whole number 0, and 231/1250 is the fractional part.
Final Result: Fraction Form of 0.1848 After simplifying, we get the final fraction:
Answer: 0.1848 = 231/1250
Converting 0.1848 to a fraction results in 231/1250. 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.