Answer: 0.1068 as a fraction is 267/2500
Converting the decimal number 0.1068 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 0.1068 can be broken down as:
0.1068 = 0 + 0.1068
Here, 0 is the whole number part, and 0.1068 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1068, to a fraction. To do this, consider the place value of the decimal:
0.1068 =
1068
10000
Now, simplify the fraction 1068/10000. To do this, find the greatest common divisor (GCD) of 1068 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1068 ÷ 4
10000 ÷ 4
=
267
2500
So, 0.1068 as a fraction is 267/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1068 = 0 + 0.1068, express the entire number as a mixed fraction:
0.1068
= 0 +
267
2500
=
0
2500
+
267
2500
=
267
2500
Here, 0/2500 is the whole number 0, and 267/2500 is the fractional part.
Final Result: Fraction Form of 0.1068 After simplifying, we get the final fraction:
Answer: 0.1068 = 267/2500
Converting 0.1068 to a fraction results in 267/2500. 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.