Answer: 0.1335 as a fraction is 267/2000
Converting the decimal number 0.1335 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 0.1335 can be broken down as:
0.1335 = 0 + 0.1335
Here, 0 is the whole number part, and 0.1335 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1335, to a fraction. To do this, consider the place value of the decimal:
0.1335 =
1335
10000
Now, simplify the fraction 1335/10000. To do this, find the greatest common divisor (GCD) of 1335 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1335 ÷ 5
10000 ÷ 5
=
267
2000
So, 0.1335 as a fraction is 267/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1335 = 0 + 0.1335, express the entire number as a mixed fraction:
0.1335
= 0 +
267
2000
=
0
2000
+
267
2000
=
267
2000
Here, 0/2000 is the whole number 0, and 267/2000 is the fractional part.
Final Result: Fraction Form of 0.1335 After simplifying, we get the final fraction:
Answer: 0.1335 = 267/2000
Converting 0.1335 to a fraction results in 267/2000. 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.