Answer: 1.5671 as a fraction is 1567.1/1000
Converting the decimal number 1.5671 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 1.5671 can be broken down as:
1.5671 = 1 + 0.5671
Here, 1 is the whole number part, and 0.5671 is the decimal part.
Focus on converting the decimal part, 0.5671, to a fraction. To do this, consider the place value of the decimal:
0.5671 =
5671
10000
Now, simplify the fraction 5671/10000. To do this, find the greatest common divisor (GCD) of 5671 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5671 ÷ 10
10000 ÷ 10
=
567.1
1000
So, 0.5671 as a fraction is 567.1/1000
Now that you have 1.5671 = 1 + 0.5671, express the entire number as a mixed fraction:
1.5671
= 1 +
567.1
1000
=
1000
1000
+
567.1
1000
=
1567.1
1000
Here, 1000/1000 is the whole number 1, and 567.1/1000 is the fractional part.
Answer: 1.5671 = 1567.1/1000
Converting 1.5671 to a fraction results in 1567.1/1000. 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.