Answer: 0.0564 as a fraction is 141/2500
Converting the decimal number 0.0564 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 0.0564 can be broken down as:
0.0564 = 0 + 0.0564
Here, 0 is the whole number part, and 0.0564 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0564, to a fraction. To do this, consider the place value of the decimal:
0.0564 =
564
10000
Now, simplify the fraction 564/10000. To do this, find the greatest common divisor (GCD) of 564 and 10000.
Now, divide both the numerator and the denominator by their GCD:
564 ÷ 4
10000 ÷ 4
=
141
2500
So, 0.0564 as a fraction is 141/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.0564 = 0 + 0.0564, express the entire number as a mixed fraction:
0.0564
= 0 +
141
2500
=
0
2500
+
141
2500
=
141
2500
Here, 0/2500 is the whole number 0, and 141/2500 is the fractional part.
Final Result: Fraction Form of 0.0564 After simplifying, we get the final fraction:
Answer: 0.0564 = 141/2500
Converting 0.0564 to a fraction results in 141/2500. 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.