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.
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.
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
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
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.
Answer: 0.5560 = 139/250
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.