Answer: 1.6520 as a fraction is 1652/1000
Converting the decimal number 1.6520 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 1.6520 can be broken down as:
1.6520 = 1 + 0.652
Here, 1 is the whole number part, and 0.652 is the decimal part.
Focus on converting the decimal part, 0.652, to a fraction. To do this, consider the place value of the decimal:
0.652 =
652
1000
Now, simplify the fraction 652/1000. To do this, find the greatest common divisor (GCD) of 652 and 1000.
Now, divide both the numerator and the denominator by their GCD:
652 ÷ 1
1000 ÷ 1
=
652
1000
So, 0.652 as a fraction is 652/1000
Now that you have 1.6520 = 1 + 0.652, express the entire number as a mixed fraction:
1.6520
= 1 +
652
1000
=
1000
1000
+
652
1000
=
1652
1000
Here, 1000/1000 is the whole number 1, and 652/1000 is the fractional part.
Answer: 1.6520 = 1652/1000
Converting 1.6520 to a fraction results in 1652/1000. 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.