Answer: 1.6480 as a fraction is 1648/1000
Converting the decimal number 1.6480 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 1.6480 can be broken down as:
1.6480 = 1 + 0.648
Here, 1 is the whole number part, and 0.648 is the decimal part.
Focus on converting the decimal part, 0.648, to a fraction. To do this, consider the place value of the decimal:
0.648 =
648
1000
Now, simplify the fraction 648/1000. To do this, find the greatest common divisor (GCD) of 648 and 1000.
Now, divide both the numerator and the denominator by their GCD:
648 ÷ 1
1000 ÷ 1
=
648
1000
So, 0.648 as a fraction is 648/1000
Now that you have 1.6480 = 1 + 0.648, express the entire number as a mixed fraction:
1.6480
= 1 +
648
1000
=
1000
1000
+
648
1000
=
1648
1000
Here, 1000/1000 is the whole number 1, and 648/1000 is the fractional part.
Answer: 1.6480 = 1648/1000
Converting 1.6480 to a fraction results in 1648/1000. 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.