What is 0.5520 as a fraction in simplest form.

Answer: 0.5520 as a fraction is 69/125

Converting the decimal number 0.5520 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 0.5520 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.5520 can be broken down as:

0.5520 = 0 + 0.552

Here, 0 is the whole number part, and 0.552 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.552, to a fraction. To do this, consider the place value of the decimal:

0.552 =

552

1000

Step 3: Simplify the Fraction

Now, simplify the fraction 552/1000. To do this, find the greatest common divisor (GCD) of 552 and 1000.

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


552 ÷ 8

1000 ÷ 8

=

69

125

So, 0.552 as a fraction is 69/125

Step 4: Combine the Whole Number and Fraction

Now that you have 0.5520 = 0 + 0.552, express the entire number as a mixed fraction:

0.5520

= 0 +

69

125

=

0

125

+

69

125

=

69

125

Here, 0/125 is the whole number 0, and 69/125 is the fractional part.

Final Result Answer

Fraction Form of 0.5520 After simplifying, we get the final fraction:

Answer: 0.5520 = 69/125

Conclusion

Converting 0.5520 to a fraction results in 69/125. 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