Answer: 0.2590 as a fraction is 259/1000
Converting the decimal number 0.2590 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 0.2590 can be broken down as:
0.2590 = 0 + 0.259
Here, 0 is the whole number part, and 0.259 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.259, to a fraction. To do this, consider the place value of the decimal:
0.259 =
259
1000
Now, simplify the fraction 259/1000. To do this, find the greatest common divisor (GCD) of 259 and 1000.
Now, divide both the numerator and the denominator by their GCD:
259 ÷ 1
1000 ÷ 1
=
259
1000
So, 0.259 as a fraction is 259/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.2590 = 0 + 0.259, express the entire number as a mixed fraction:
0.2590
= 0 +
259
1000
=
0
1000
+
259
1000
=
259
1000
Here, 0/1000 is the whole number 0, and 259/1000 is the fractional part.
Final Result: Fraction Form of 0.2590 After simplifying, we get the final fraction:
Answer: 0.2590 = 259/1000
Converting 0.2590 to a fraction results in 259/1000. 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.