Answer: 0.0835 as a fraction is 167/2000
Converting the decimal number 0.0835 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 0.0835 can be broken down as:
0.0835 = 0 + 0.0835
Here, 0 is the whole number part, and 0.0835 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0835, to a fraction. To do this, consider the place value of the decimal:
0.0835 =
835
10000
Now, simplify the fraction 835/10000. To do this, find the greatest common divisor (GCD) of 835 and 10000.
Now, divide both the numerator and the denominator by their GCD:
835 ÷ 5
10000 ÷ 5
=
167
2000
So, 0.0835 as a fraction is 167/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0835 = 0 + 0.0835, express the entire number as a mixed fraction:
0.0835
= 0 +
167
2000
=
0
2000
+
167
2000
=
167
2000
Here, 0/2000 is the whole number 0, and 167/2000 is the fractional part.
Final Result: Fraction Form of 0.0835 After simplifying, we get the final fraction:
Answer: 0.0835 = 167/2000
Converting 0.0835 to a fraction results in 167/2000. 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.