What is 0.0860 as a fraction in simplest form.

Answer: 0.0860 as a fraction is 43/500

Converting the decimal number 0.0860 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 Decimal

The decimal 0.0860 can be broken down as:

0.0860 = 0 + 0.086


Here, 0 is the whole number part, and 0.086 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.086, to a fraction. To do this, consider the place value of the decimal:

0.086 =

86

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 86/1000. To do this, find the greatest common divisor (GCD) of 86 and 1000.

Now, divide both the numerator and the denominator by their GCD:


86 ÷ 2

1000 ÷ 2

=

43

500



So, 0.086 as a fraction is 43/500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0860 = 0 + 0.086, express the entire number as a mixed fraction:

0.0860

= 0 +

43

500

=

0

500

+

43

500

=

43

500



Here, 0/500 is the whole number 0, and 43/500 is the fractional part.



Final Result: Fraction Form of 0.0860 After simplifying, we get the final fraction:

Answer: 0.0860 = 43/500



Conclusion

Converting 0.0860 to a fraction results in 43/500. 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.

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