High School

Ingrid dug a trench that is [tex]\frac{18}{20}[/tex] meters long. The next day, she dug [tex]\frac{9}{20}[/tex] of a meter more of the trench. What is a reasonable estimate of the total length of the trench?

Answer :

To find the total length of the trench dug by Indigrid, we add the two fractions representing the lengths dug on separate days. The sum of 18/20 and 9/20 meters is 27/20 meters, which is approximately 1 and 1/3 meters, our estimated total length.

The student is asking about the total length of a trench that was dug in two separate instances. Indigrid initially dug 18/20 of a meter, and on the next day, she dug an additional 9/20 of a meter. To estimate the total length, we simply need to add these two fractions:

First Day: 18/20 meter
Second Day: 9/20 meter

Adding them together:

18/20 + 9/20 = (18+9)/20 = 27/20 meters

Since 27/20 meters is equal to 1 and 7/20 meters, we can say that the total estimated length of the trench is around 1 and 1/3 meters, assuming we round to the nearest simple fraction for estimation.