Answer: 0.1556 as a fraction is 311.2/2000
Converting the decimal number 0.1556 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 0.1556 can be broken down as:
0.1556 = 0 + 0.1556
Here, 0 is the whole number part, and 0.1556 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1556, to a fraction. To do this, consider the place value of the decimal:
0.1556 =
1556
10000
Now, simplify the fraction 1556/10000. To do this, find the greatest common divisor (GCD) of 1556 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1556 ÷ 5
10000 ÷ 5
=
311.2
2000
So, 0.1556 as a fraction is 311.2/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1556 = 0 + 0.1556, express the entire number as a mixed fraction:
0.1556
= 0 +
311.2
2000
=
0
2000
+
311.2
2000
=
311.2
2000
Here, 0/2000 is the whole number 0, and 311.2/2000 is the fractional part.
Final Result: Fraction Form of 0.1556 After simplifying, we get the final fraction:
Answer: 0.1556 = 311.2/2000
Converting 0.1556 to a fraction results in 311.2/2000. 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.