Answer: 1.5491 as a fraction is 1549.1/1000
Converting the decimal number 1.5491 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 1.5491 can be broken down as:
1.5491 = 1 + 0.5491
Here, 1 is the whole number part, and 0.5491 is the decimal part.
Focus on converting the decimal part, 0.5491, to a fraction. To do this, consider the place value of the decimal:
0.5491 =
5491
10000
Now, simplify the fraction 5491/10000. To do this, find the greatest common divisor (GCD) of 5491 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5491 ÷ 10
10000 ÷ 10
=
549.1
1000
So, 0.5491 as a fraction is 549.1/1000
Now that you have 1.5491 = 1 + 0.5491, express the entire number as a mixed fraction:
1.5491
= 1 +
549.1
1000
=
1000
1000
+
549.1
1000
=
1549.1
1000
Here, 1000/1000 is the whole number 1, and 549.1/1000 is the fractional part.
Answer: 1.5491 = 1549.1/1000
Converting 1.5491 to a fraction results in 1549.1/1000. 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.