What is 0.5560 as a fraction in simplest form.

Answer: 0.5560 as a fraction is 139/250

Converting the decimal number 0.5560 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.

How to write 0.5560 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.5560 can be broken down as:

0.5560 = 0 + 0.556

Here, 0 is the whole number part, and 0.556 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.556, to a fraction. To do this, consider the place value of the decimal:

0.556 =

556

1000

Step 3: Simplify the Fraction

Now, simplify the fraction 556/1000. To do this, find the greatest common divisor (GCD) of 556 and 1000.

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


556 ÷ 4

1000 ÷ 4

=

139

250

So, 0.556 as a fraction is 139/250

Step 4: Combine the Whole Number and Fraction

Now that you have 0.5560 = 0 + 0.556, express the entire number as a mixed fraction:

0.5560

= 0 +

139

250

=

0

250

+

139

250

=

139

250

Here, 0/250 is the whole number 0, and 139/250 is the fractional part.

Final Result Answer

Fraction Form of 0.5560 After simplifying, we get the final fraction:

Answer: 0.5560 = 139/250

Conclusion

Converting 0.5560 to a fraction results in 139/250. 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