Final answer:
To express the decimal 1.813 as a fraction, you can write it as 1813/1000.
Step-by-step explanation:
To express the decimal 1.813 as a fraction, we can write it as $m/n$, where $m$ and $n$ are integers.
To do this, we can start by looking at the decimal and noticing that the number 1 is in the units place, the number 8 is in the tenths place, the number 1 is in the hundredths place, and the number 3 is in the thousandths place.
Since there is a 1 in the units place, we can write the decimal as 1 and then focus on the decimal part, which is 0.813.
Since there is an 8 in the tenths place, we can write the decimal as 1 and then focus on the decimal part, which is 0.813. Dividing 0.813 by 10, we get 0.0813, and we write down the tenths place as 8 in the fraction.
Continuing this process, we divide 0.0813 by 10 to get 0.00813, and we write down the hundredths place as 1 in the fraction.
Finally, we divide 0.00813 by 10 to get 0.000813, and we write down the thousandths place as 3 in the fraction.
Putting it all together, the decimal 1.813 can be written as the fraction $1813/1000$.