Answer: 0.1332 as a fraction is 333/2500
Converting the decimal number 0.1332 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 0.1332 can be broken down as:
0.1332 = 0 + 0.1332
Here, 0 is the whole number part, and 0.1332 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1332, to a fraction. To do this, consider the place value of the decimal:
0.1332 =
1332
10000
Now, simplify the fraction 1332/10000. To do this, find the greatest common divisor (GCD) of 1332 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1332 ÷ 4
10000 ÷ 4
=
333
2500
So, 0.1332 as a fraction is 333/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1332 = 0 + 0.1332, express the entire number as a mixed fraction:
0.1332
= 0 +
333
2500
=
0
2500
+
333
2500
=
333
2500
Here, 0/2500 is the whole number 0, and 333/2500 is the fractional part.
Final Result: Fraction Form of 0.1332 After simplifying, we get the final fraction:
Answer: 0.1332 = 333/2500
Converting 0.1332 to a fraction results in 333/2500. 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.