Answer: 1.5571 as a fraction is 1557.1/1000
Converting the decimal number 1.5571 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 1.5571 can be broken down as:
1.5571 = 1 + 0.5571
Here, 1 is the whole number part, and 0.5571 is the decimal part.
Focus on converting the decimal part, 0.5571, to a fraction. To do this, consider the place value of the decimal:
0.5571 =
5571
10000
Now, simplify the fraction 5571/10000. To do this, find the greatest common divisor (GCD) of 5571 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5571 ÷ 10
10000 ÷ 10
=
557.1
1000
So, 0.5571 as a fraction is 557.1/1000
Now that you have 1.5571 = 1 + 0.5571, express the entire number as a mixed fraction:
1.5571
= 1 +
557.1
1000
=
1000
1000
+
557.1
1000
=
1557.1
1000
Here, 1000/1000 is the whole number 1, and 557.1/1000 is the fractional part.
Answer: 1.5571 = 1557.1/1000
Converting 1.5571 to a fraction results in 1557.1/1000. 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.