Answer: 0.2620 as a fraction is 131/500
Converting the decimal number 0.2620 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 0.2620 can be broken down as:
0.2620 = 0 + 0.262
Here, 0 is the whole number part, and 0.262 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.262, to a fraction. To do this, consider the place value of the decimal:
0.262 =
262
1000
Now, simplify the fraction 262/1000. To do this, find the greatest common divisor (GCD) of 262 and 1000.
Now, divide both the numerator and the denominator by their GCD:
262 ÷ 2
1000 ÷ 2
=
131
500
So, 0.262 as a fraction is 131/500
Step 4: Combine the Whole Number and FractionNow that you have 0.2620 = 0 + 0.262, express the entire number as a mixed fraction:
0.2620
= 0 +
131
500
=
0
500
+
131
500
=
131
500
Here, 0/500 is the whole number 0, and 131/500 is the fractional part.
Final Result: Fraction Form of 0.2620 After simplifying, we get the final fraction:
Answer: 0.2620 = 131/500
Converting 0.2620 to a fraction results in 131/500. 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.