Answer: 0.2633 as a fraction is 2633/10000
Converting the decimal number 0.2633 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 0.2633 can be broken down as:
0.2633 = 0 + 0.2633
Here, 0 is the whole number part, and 0.2633 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2633, to a fraction. To do this, consider the place value of the decimal:
0.2633 =
2633
10000
Now, simplify the fraction 2633/10000. To do this, find the greatest common divisor (GCD) of 2633 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2633 ÷ 1
10000 ÷ 1
=
2633
10000
So, 0.2633 as a fraction is 2633/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2633 = 0 + 0.2633, express the entire number as a mixed fraction:
0.2633
= 0 +
2633
10000
=
0
10000
+
2633
10000
=
2633
10000
Here, 0/10000 is the whole number 0, and 2633/10000 is the fractional part.
Final Result: Fraction Form of 0.2633 After simplifying, we get the final fraction:
Answer: 0.2633 = 2633/10000
Converting 0.2633 to a fraction results in 2633/10000. 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.