Answer: 1.3050 as a fraction is 163.125/125
Converting the decimal number 1.3050 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 1.3050 can be broken down as:
1.3050 = 1 + 0.305
Here, 1 is the whole number part, and 0.305 is the decimal part.
Focus on converting the decimal part, 0.305, to a fraction. To do this, consider the place value of the decimal:
0.305 =
305
1000
Now, simplify the fraction 305/1000. To do this, find the greatest common divisor (GCD) of 305 and 1000.
Now, divide both the numerator and the denominator by their GCD:
305 ÷ 8
1000 ÷ 8
=
38.125
125
So, 0.305 as a fraction is 38.125/125
Now that you have 1.3050 = 1 + 0.305, express the entire number as a mixed fraction:
1.3050
= 1 +
38.125
125
=
125
125
+
38.125
125
=
163.125
125
Here, 125/125 is the whole number 1, and 38.125/125 is the fractional part.
Answer: 1.3050 = 163.125/125
Converting 1.3050 to a fraction results in 163.125/125. 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.