Answer: 1.3421 as a fraction is 13421/10000
Converting the decimal number 1.3421 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 1.3421 can be broken down as:
1.3421 = 1 + 0.3421
Here, 1 is the whole number part, and 0.3421 is the decimal part.
Focus on converting the decimal part, 0.3421, to a fraction. To do this, consider the place value of the decimal:
0.3421 =
3421
10000
Now, simplify the fraction 3421/10000. To do this, find the greatest common divisor (GCD) of 3421 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3421 ÷ 1
10000 ÷ 1
=
3421
10000
So, 0.3421 as a fraction is 3421/10000
Now that you have 1.3421 = 1 + 0.3421, express the entire number as a mixed fraction:
1.3421
= 1 +
3421
10000
=
10000
10000
+
3421
10000
=
13421
10000
Here, 10000/10000 is the whole number 1, and 3421/10000 is the fractional part.
Answer: 1.3421 = 13421/10000
Converting 1.3421 to a fraction results in 13421/10000. 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.