Answer: 1.7065 as a fraction is 2133.125/1250
Converting the decimal number 1.7065 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 1.7065 can be broken down as:
1.7065 = 1 + 0.7065
Here, 1 is the whole number part, and 0.7065 is the decimal part.
Focus on converting the decimal part, 0.7065, to a fraction. To do this, consider the place value of the decimal:
0.7065 =
7065
10000
Now, simplify the fraction 7065/10000. To do this, find the greatest common divisor (GCD) of 7065 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7065 ÷ 8
10000 ÷ 8
=
883.125
1250
So, 0.7065 as a fraction is 883.125/1250
Now that you have 1.7065 = 1 + 0.7065, express the entire number as a mixed fraction:
1.7065
= 1 +
883.125
1250
=
1250
1250
+
883.125
1250
=
2133.125
1250
Here, 1250/1250 is the whole number 1, and 883.125/1250 is the fractional part.
Answer: 1.7065 = 2133.125/1250
Converting 1.7065 to a fraction results in 2133.125/1250. 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.