Answer: 0.0965 as a fraction is 193/2000
Converting the decimal number 0.0965 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 0.0965 can be broken down as:
0.0965 = 0 + 0.0965
Here, 0 is the whole number part, and 0.0965 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0965, to a fraction. To do this, consider the place value of the decimal:
0.0965 =
965
10000
Now, simplify the fraction 965/10000. To do this, find the greatest common divisor (GCD) of 965 and 10000.
Now, divide both the numerator and the denominator by their GCD:
965 ÷ 5
10000 ÷ 5
=
193
2000
So, 0.0965 as a fraction is 193/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0965 = 0 + 0.0965, express the entire number as a mixed fraction:
0.0965
= 0 +
193
2000
=
0
2000
+
193
2000
=
193
2000
Here, 0/2000 is the whole number 0, and 193/2000 is the fractional part.
Final Result: Fraction Form of 0.0965 After simplifying, we get the final fraction:
Answer: 0.0965 = 193/2000
Converting 0.0965 to a fraction results in 193/2000. 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.