Answer: 0.0568 as a fraction is 71/1250
Converting the decimal number 0.0568 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 0.0568 can be broken down as:
0.0568 = 0 + 0.0568
Here, 0 is the whole number part, and 0.0568 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0568, to a fraction. To do this, consider the place value of the decimal:
0.0568 =
568
10000
Now, simplify the fraction 568/10000. To do this, find the greatest common divisor (GCD) of 568 and 10000.
Now, divide both the numerator and the denominator by their GCD:
568 ÷ 8
10000 ÷ 8
=
71
1250
So, 0.0568 as a fraction is 71/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0568 = 0 + 0.0568, express the entire number as a mixed fraction:
0.0568
= 0 +
71
1250
=
0
1250
+
71
1250
=
71
1250
Here, 0/1250 is the whole number 0, and 71/1250 is the fractional part.
Final Result: Fraction Form of 0.0568 After simplifying, we get the final fraction:
Answer: 0.0568 = 71/1250
Converting 0.0568 to a fraction results in 71/1250. 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.