Answer: 0.0551 as a fraction is 551/10000
Converting the decimal number 0.0551 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 0.0551 can be broken down as:
0.0551 = 0 + 0.0551
Here, 0 is the whole number part, and 0.0551 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0551, to a fraction. To do this, consider the place value of the decimal:
0.0551 =
551
10000
Now, simplify the fraction 551/10000. To do this, find the greatest common divisor (GCD) of 551 and 10000.
Now, divide both the numerator and the denominator by their GCD:
551 ÷ 1
10000 ÷ 1
=
551
10000
So, 0.0551 as a fraction is 551/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0551 = 0 + 0.0551, express the entire number as a mixed fraction:
0.0551
= 0 +
551
10000
=
0
10000
+
551
10000
=
551
10000
Here, 0/10000 is the whole number 0, and 551/10000 is the fractional part.
Final Result: Fraction Form of 0.0551 After simplifying, we get the final fraction:
Answer: 0.0551 = 551/10000
Converting 0.0551 to a fraction results in 551/10000. 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.