Answer: 0.0934 as a fraction is 467/5000
Converting the decimal number 0.0934 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 0.0934 can be broken down as:
0.0934 = 0 + 0.0934
Here, 0 is the whole number part, and 0.0934 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0934, to a fraction. To do this, consider the place value of the decimal:
0.0934 =
934
10000
Now, simplify the fraction 934/10000. To do this, find the greatest common divisor (GCD) of 934 and 10000.
Now, divide both the numerator and the denominator by their GCD:
934 ÷ 2
10000 ÷ 2
=
467
5000
So, 0.0934 as a fraction is 467/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0934 = 0 + 0.0934, express the entire number as a mixed fraction:
0.0934
= 0 +
467
5000
=
0
5000
+
467
5000
=
467
5000
Here, 0/5000 is the whole number 0, and 467/5000 is the fractional part.
Final Result: Fraction Form of 0.0934 After simplifying, we get the final fraction:
Answer: 0.0934 = 467/5000
Converting 0.0934 to a fraction results in 467/5000. 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.