Answer: 1.3434 as a fraction is 13434/10000
Converting the decimal number 1.3434 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 1.3434 can be broken down as:
1.3434 = 1 + 0.3434
Here, 1 is the whole number part, and 0.3434 is the decimal part.
Focus on converting the decimal part, 0.3434, to a fraction. To do this, consider the place value of the decimal:
0.3434 =
3434
10000
Now, simplify the fraction 3434/10000. To do this, find the greatest common divisor (GCD) of 3434 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3434 ÷ 1
10000 ÷ 1
=
3434
10000
So, 0.3434 as a fraction is 3434/10000
Now that you have 1.3434 = 1 + 0.3434, express the entire number as a mixed fraction:
1.3434
= 1 +
3434
10000
=
10000
10000
+
3434
10000
=
13434
10000
Here, 10000/10000 is the whole number 1, and 3434/10000 is the fractional part.
Answer: 1.3434 = 13434/10000
Converting 1.3434 to a fraction results in 13434/10000. 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.