Answer: 0.0955 as a fraction is 191/2000
Converting the decimal number 0.0955 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 0.0955 can be broken down as:
0.0955 = 0 + 0.0955
Here, 0 is the whole number part, and 0.0955 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0955, to a fraction. To do this, consider the place value of the decimal:
0.0955 =
955
10000
Now, simplify the fraction 955/10000. To do this, find the greatest common divisor (GCD) of 955 and 10000.
Now, divide both the numerator and the denominator by their GCD:
955 ÷ 5
10000 ÷ 5
=
191
2000
So, 0.0955 as a fraction is 191/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0955 = 0 + 0.0955, express the entire number as a mixed fraction:
0.0955
= 0 +
191
2000
=
0
2000
+
191
2000
=
191
2000
Here, 0/2000 is the whole number 0, and 191/2000 is the fractional part.
Final Result: Fraction Form of 0.0955 After simplifying, we get the final fraction:
Answer: 0.0955 = 191/2000
Converting 0.0955 to a fraction results in 191/2000. 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.