Answer: 1.3344 as a fraction is 834/625
Converting the decimal number 1.3344 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 1.3344 can be broken down as:
1.3344 = 1 + 0.3344
Here, 1 is the whole number part, and 0.3344 is the decimal part.
Focus on converting the decimal part, 0.3344, to a fraction. To do this, consider the place value of the decimal:
0.3344 =
3344
10000
Now, simplify the fraction 3344/10000. To do this, find the greatest common divisor (GCD) of 3344 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3344 ÷ 16
10000 ÷ 16
=
209
625
So, 0.3344 as a fraction is 209/625
Now that you have 1.3344 = 1 + 0.3344, express the entire number as a mixed fraction:
1.3344
= 1 +
209
625
=
625
625
+
209
625
=
834
625
Here, 625/625 is the whole number 1, and 209/625 is the fractional part.
Answer: 1.3344 = 834/625
Converting 1.3344 to a fraction results in 834/625. 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.