Answer: 0.2715 as a fraction is 543/2000
Converting the decimal number 0.2715 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 0.2715 can be broken down as:
0.2715 = 0 + 0.2715
Here, 0 is the whole number part, and 0.2715 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2715, to a fraction. To do this, consider the place value of the decimal:
0.2715 =
2715
10000
Now, simplify the fraction 2715/10000. To do this, find the greatest common divisor (GCD) of 2715 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2715 ÷ 5
10000 ÷ 5
=
543
2000
So, 0.2715 as a fraction is 543/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2715 = 0 + 0.2715, express the entire number as a mixed fraction:
0.2715
= 0 +
543
2000
=
0
2000
+
543
2000
=
543
2000
Here, 0/2000 is the whole number 0, and 543/2000 is the fractional part.
Final Result: Fraction Form of 0.2715 After simplifying, we get the final fraction:
Answer: 0.2715 = 543/2000
Converting 0.2715 to a fraction results in 543/2000. 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.