Answer: 0.1032 as a fraction is 129/1250
Converting the decimal number 0.1032 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 0.1032 can be broken down as:
0.1032 = 0 + 0.1032
Here, 0 is the whole number part, and 0.1032 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1032, to a fraction. To do this, consider the place value of the decimal:
0.1032 =
1032
10000
Now, simplify the fraction 1032/10000. To do this, find the greatest common divisor (GCD) of 1032 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1032 ÷ 8
10000 ÷ 8
=
129
1250
So, 0.1032 as a fraction is 129/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.1032 = 0 + 0.1032, express the entire number as a mixed fraction:
0.1032
= 0 +
129
1250
=
0
1250
+
129
1250
=
129
1250
Here, 0/1250 is the whole number 0, and 129/1250 is the fractional part.
Final Result: Fraction Form of 0.1032 After simplifying, we get the final fraction:
Answer: 0.1032 = 129/1250
Converting 0.1032 to a fraction results in 129/1250. 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.