What is 0.2624 as a fraction in simplest form.

Answer: 0.2624 as a fraction is 164/625

Converting the decimal number 0.2624 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 Decimal

The decimal 0.2624 can be broken down as:

0.2624 = 0 + 0.2624


Here, 0 is the whole number part, and 0.2624 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2624, to a fraction. To do this, consider the place value of the decimal:

0.2624 =

2624

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2624/10000. To do this, find the greatest common divisor (GCD) of 2624 and 10000.

Now, divide both the numerator and the denominator by their GCD:


2624 ÷ 16

10000 ÷ 16

=

164

625



So, 0.2624 as a fraction is 164/625


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2624 = 0 + 0.2624, express the entire number as a mixed fraction:

0.2624

= 0 +

164

625

=

0

625

+

164

625

=

164

625



Here, 0/625 is the whole number 0, and 164/625 is the fractional part.



Final Result: Fraction Form of 0.2624 After simplifying, we get the final fraction:

Answer: 0.2624 = 164/625



Conclusion

Converting 0.2624 to a fraction results in 164/625. 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.

Calculated Values List