Answer: 0.1030 as a fraction is 103/1000
Converting the decimal number 0.1030 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 0.1030 can be broken down as:
0.1030 = 0 + 0.103
Here, 0 is the whole number part, and 0.103 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.103, to a fraction. To do this, consider the place value of the decimal:
0.103 =
103
1000
Now, simplify the fraction 103/1000. To do this, find the greatest common divisor (GCD) of 103 and 1000.
Now, divide both the numerator and the denominator by their GCD:
103 ÷ 1
1000 ÷ 1
=
103
1000
So, 0.103 as a fraction is 103/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1030 = 0 + 0.103, express the entire number as a mixed fraction:
0.1030
= 0 +
103
1000
=
0
1000
+
103
1000
=
103
1000
Here, 0/1000 is the whole number 0, and 103/1000 is the fractional part.
Final Result: Fraction Form of 0.1030 After simplifying, we get the final fraction:
Answer: 0.1030 = 103/1000
Converting 0.1030 to a fraction results in 103/1000. 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.