Answer: 1.3292 as a fraction is 13292/10000
Converting the decimal number 1.3292 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 1.3292 can be broken down as:
1.3292 = 1 + 0.3292
Here, 1 is the whole number part, and 0.3292 is the decimal part.
Focus on converting the decimal part, 0.3292, to a fraction. To do this, consider the place value of the decimal:
0.3292 =
3292
10000
Now, simplify the fraction 3292/10000. To do this, find the greatest common divisor (GCD) of 3292 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3292 ÷ 1
10000 ÷ 1
=
3292
10000
So, 0.3292 as a fraction is 3292/10000
Now that you have 1.3292 = 1 + 0.3292, express the entire number as a mixed fraction:
1.3292
= 1 +
3292
10000
=
10000
10000
+
3292
10000
=
13292
10000
Here, 10000/10000 is the whole number 1, and 3292/10000 is the fractional part.
Answer: 1.3292 = 13292/10000
Converting 1.3292 to a fraction results in 13292/10000. 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.