Answer: 0.0267 as a fraction is 267/10000
Converting the decimal number 0.0267 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 0.0267 can be broken down as:
0.0267 = 0 + 0.0267
Here, 0 is the whole number part, and 0.0267 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0267, to a fraction. To do this, consider the place value of the decimal:
0.0267 =
267
10000
Now, simplify the fraction 267/10000. To do this, find the greatest common divisor (GCD) of 267 and 10000.
Now, divide both the numerator and the denominator by their GCD:
267 ÷ 1
10000 ÷ 1
=
267
10000
So, 0.0267 as a fraction is 267/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0267 = 0 + 0.0267, express the entire number as a mixed fraction:
0.0267
= 0 +
267
10000
=
0
10000
+
267
10000
=
267
10000
Here, 0/10000 is the whole number 0, and 267/10000 is the fractional part.
Final Result: Fraction Form of 0.0267 After simplifying, we get the final fraction:
Answer: 0.0267 = 267/10000
Converting 0.0267 to a fraction results in 267/10000. 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.