Answer: 0.0727 as a fraction is 727/10000
Converting the decimal number 0.0727 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 0.0727 can be broken down as:
0.0727 = 0 + 0.0727
Here, 0 is the whole number part, and 0.0727 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0727, to a fraction. To do this, consider the place value of the decimal:
0.0727 =
727
10000
Now, simplify the fraction 727/10000. To do this, find the greatest common divisor (GCD) of 727 and 10000.
Now, divide both the numerator and the denominator by their GCD:
727 ÷ 1
10000 ÷ 1
=
727
10000
So, 0.0727 as a fraction is 727/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0727 = 0 + 0.0727, express the entire number as a mixed fraction:
0.0727
= 0 +
727
10000
=
0
10000
+
727
10000
=
727
10000
Here, 0/10000 is the whole number 0, and 727/10000 is the fractional part.
Final Result: Fraction Form of 0.0727 After simplifying, we get the final fraction:
Answer: 0.0727 = 727/10000
Converting 0.0727 to a fraction results in 727/10000. 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.