Answer: 0.1035 as a fraction is 207/2000
Converting the decimal number 0.1035 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 0.1035 can be broken down as:
0.1035 = 0 + 0.1035
Here, 0 is the whole number part, and 0.1035 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1035, to a fraction. To do this, consider the place value of the decimal:
0.1035 =
1035
10000
Now, simplify the fraction 1035/10000. To do this, find the greatest common divisor (GCD) of 1035 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1035 ÷ 5
10000 ÷ 5
=
207
2000
So, 0.1035 as a fraction is 207/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1035 = 0 + 0.1035, express the entire number as a mixed fraction:
0.1035
= 0 +
207
2000
=
0
2000
+
207
2000
=
207
2000
Here, 0/2000 is the whole number 0, and 207/2000 is the fractional part.
Final Result: Fraction Form of 0.1035 After simplifying, we get the final fraction:
Answer: 0.1035 = 207/2000
Converting 0.1035 to a fraction results in 207/2000. 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.