Answer: 0.5570 as a fraction is 557/1000
Converting the decimal number 0.5570 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 0.5570 can be broken down as:
0.5570 = 0 + 0.557
Here, 0 is the whole number part, and 0.557 is the decimal part.
Focus on converting the decimal part, 0.557, to a fraction. To do this, consider the place value of the decimal:
0.557 =
557
1000
Now, simplify the fraction 557/1000. To do this, find the greatest common divisor (GCD) of 557 and 1000.
Now, divide both the numerator and the denominator by their GCD:
557 ÷ 1
1000 ÷ 1
=
557
1000
So, 0.557 as a fraction is 557/1000
Now that you have 0.5570 = 0 + 0.557, express the entire number as a mixed fraction:
0.5570
= 0 +
557
1000
=
0
1000
+
557
1000
=
557
1000
Here, 0/1000 is the whole number 0, and 557/1000 is the fractional part.
Answer: 0.5570 = 557/1000
Converting 0.5570 to a fraction results in 557/1000. 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.