Answer: 1.3332 as a fraction is 13332/10000
Converting the decimal number 1.3332 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 1.3332 can be broken down as:
1.3332 = 1 + 0.3332
Here, 1 is the whole number part, and 0.3332 is the decimal part.
Focus on converting the decimal part, 0.3332, to a fraction. To do this, consider the place value of the decimal:
0.3332 =
3332
10000
Now, simplify the fraction 3332/10000. To do this, find the greatest common divisor (GCD) of 3332 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3332 ÷ 1
10000 ÷ 1
=
3332
10000
So, 0.3332 as a fraction is 3332/10000
Now that you have 1.3332 = 1 + 0.3332, express the entire number as a mixed fraction:
1.3332
= 1 +
3332
10000
=
10000
10000
+
3332
10000
=
13332
10000
Here, 10000/10000 is the whole number 1, and 3332/10000 is the fractional part.
Answer: 1.3332 = 13332/10000
Converting 1.3332 to a fraction results in 13332/10000. 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.