Answer: 0.0861 as a fraction is 861/10000
Converting the decimal number 0.0861 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 0.0861 can be broken down as:
0.0861 = 0 + 0.0861
Here, 0 is the whole number part, and 0.0861 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0861, to a fraction. To do this, consider the place value of the decimal:
0.0861 =
861
10000
Now, simplify the fraction 861/10000. To do this, find the greatest common divisor (GCD) of 861 and 10000.
Now, divide both the numerator and the denominator by their GCD:
861 ÷ 1
10000 ÷ 1
=
861
10000
So, 0.0861 as a fraction is 861/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0861 = 0 + 0.0861, express the entire number as a mixed fraction:
0.0861
= 0 +
861
10000
=
0
10000
+
861
10000
=
861
10000
Here, 0/10000 is the whole number 0, and 861/10000 is the fractional part.
Final Result: Fraction Form of 0.0861 After simplifying, we get the final fraction:
Answer: 0.0861 = 861/10000
Converting 0.0861 to a fraction results in 861/10000. 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.