Answer: 0.0557 as a fraction is 557/10000
Converting the decimal number 0.0557 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 0.0557 can be broken down as:
0.0557 = 0 + 0.0557
Here, 0 is the whole number part, and 0.0557 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0557, to a fraction. To do this, consider the place value of the decimal:
0.0557 =
557
10000
Now, simplify the fraction 557/10000. To do this, find the greatest common divisor (GCD) of 557 and 10000.
Now, divide both the numerator and the denominator by their GCD:
557 ÷ 1
10000 ÷ 1
=
557
10000
So, 0.0557 as a fraction is 557/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0557 = 0 + 0.0557, express the entire number as a mixed fraction:
0.0557
= 0 +
557
10000
=
0
10000
+
557
10000
=
557
10000
Here, 0/10000 is the whole number 0, and 557/10000 is the fractional part.
Final Result: Fraction Form of 0.0557 After simplifying, we get the final fraction:
Answer: 0.0557 = 557/10000
Converting 0.0557 to a fraction results in 557/10000. 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.