Answer: 1.0568 as a fraction is 10568/10000
Converting the decimal number 1.0568 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.
The decimal 1.0568 can be broken down as:
1.0568 = 1 + 0.0568
Here, 1 is the whole number part, and 0.0568 is the decimal part.
Focus 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 ÷ 1
10000 ÷ 1
=
568
10000
So, 0.0568 as a fraction is 568/10000
Now that you have 1.0568 = 1 + 0.0568, express the entire number as a mixed fraction:
1.0568
= 1 +
568
10000
=
10000
10000
+
568
10000
=
10568
10000
Here, 10000/10000 is the whole number 1, and 568/10000 is the fractional part.
Answer: 1.0568 = 10568/10000
Converting 1.0568 to a fraction results in 10568/10000. 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.