Answer: 0.0935 as a fraction is 187/2000
Converting the decimal number 0.0935 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 0.0935 can be broken down as:
0.0935 = 0 + 0.0935
Here, 0 is the whole number part, and 0.0935 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0935, to a fraction. To do this, consider the place value of the decimal:
0.0935 =
935
10000
Now, simplify the fraction 935/10000. To do this, find the greatest common divisor (GCD) of 935 and 10000.
Now, divide both the numerator and the denominator by their GCD:
935 ÷ 5
10000 ÷ 5
=
187
2000
So, 0.0935 as a fraction is 187/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0935 = 0 + 0.0935, express the entire number as a mixed fraction:
0.0935
= 0 +
187
2000
=
0
2000
+
187
2000
=
187
2000
Here, 0/2000 is the whole number 0, and 187/2000 is the fractional part.
Final Result: Fraction Form of 0.0935 After simplifying, we get the final fraction:
Answer: 0.0935 = 187/2000
Converting 0.0935 to a fraction results in 187/2000. 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.