Answer: 0.1060 as a fraction is 53/500
Converting the decimal number 0.1060 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 0.1060 can be broken down as:
0.1060 = 0 + 0.106
Here, 0 is the whole number part, and 0.106 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.106, to a fraction. To do this, consider the place value of the decimal:
0.106 =
106
1000
Now, simplify the fraction 106/1000. To do this, find the greatest common divisor (GCD) of 106 and 1000.
Now, divide both the numerator and the denominator by their GCD:
106 ÷ 2
1000 ÷ 2
=
53
500
So, 0.106 as a fraction is 53/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1060 = 0 + 0.106, express the entire number as a mixed fraction:
0.1060
= 0 +
53
500
=
0
500
+
53
500
=
53
500
Here, 0/500 is the whole number 0, and 53/500 is the fractional part.
Final Result: Fraction Form of 0.1060 After simplifying, we get the final fraction:
Answer: 0.1060 = 53/500
Converting 0.1060 to a fraction results in 53/500. 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.