Answer: 0.1555 as a fraction is 311/2000
Converting the decimal number 0.1555 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 0.1555 can be broken down as:
0.1555 = 0 + 0.1555
Here, 0 is the whole number part, and 0.1555 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1555, to a fraction. To do this, consider the place value of the decimal:
0.1555 =
1555
10000
Now, simplify the fraction 1555/10000. To do this, find the greatest common divisor (GCD) of 1555 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1555 ÷ 5
10000 ÷ 5
=
311
2000
So, 0.1555 as a fraction is 311/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1555 = 0 + 0.1555, express the entire number as a mixed fraction:
0.1555
= 0 +
311
2000
=
0
2000
+
311
2000
=
311
2000
Here, 0/2000 is the whole number 0, and 311/2000 is the fractional part.
Final Result: Fraction Form of 0.1555 After simplifying, we get the final fraction:
Answer: 0.1555 = 311/2000
Converting 0.1555 to a fraction results in 311/2000. 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.