Answer: 0.2734 as a fraction is 2734/10000
Converting the decimal number 0.2734 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 0.2734 can be broken down as:
0.2734 = 0 + 0.2734
Here, 0 is the whole number part, and 0.2734 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2734, to a fraction. To do this, consider the place value of the decimal:
0.2734 =
2734
10000
Now, simplify the fraction 2734/10000. To do this, find the greatest common divisor (GCD) of 2734 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2734 ÷ 1
10000 ÷ 1
=
2734
10000
So, 0.2734 as a fraction is 2734/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2734 = 0 + 0.2734, express the entire number as a mixed fraction:
0.2734
= 0 +
2734
10000
=
0
10000
+
2734
10000
=
2734
10000
Here, 0/10000 is the whole number 0, and 2734/10000 is the fractional part.
Final Result: Fraction Form of 0.2734 After simplifying, we get the final fraction:
Answer: 0.2734 = 2734/10000
Converting 0.2734 to a fraction results in 2734/10000. 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.