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.
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.
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
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
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.
Answer: 0.5520 = 69/125
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.