Answer: 1.7485 as a fraction is 4371.25/2500
Converting the decimal number 1.7485 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 1.7485 can be broken down as:
1.7485 = 1 + 0.7485
Here, 1 is the whole number part, and 0.7485 is the decimal part.
Focus on converting the decimal part, 0.7485, to a fraction. To do this, consider the place value of the decimal:
0.7485 =
7485
10000
Now, simplify the fraction 7485/10000. To do this, find the greatest common divisor (GCD) of 7485 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7485 ÷ 4
10000 ÷ 4
=
1871.25
2500
So, 0.7485 as a fraction is 1871.25/2500
Now that you have 1.7485 = 1 + 0.7485, express the entire number as a mixed fraction:
1.7485
= 1 +
1871.25
2500
=
2500
2500
+
1871.25
2500
=
4371.25
2500
Here, 2500/2500 is the whole number 1, and 1871.25/2500 is the fractional part.
Answer: 1.7485 = 4371.25/2500
Converting 1.7485 to a fraction results in 4371.25/2500. 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.