High School

Eli dug a trench [tex]\frac{18}{20}[/tex] of a meter long. The next day, he dug [tex]\frac{17}{20}[/tex] of a meter long. What is a reasonable estimate of the total length of the trench?

1) [tex]\frac{16}{20}[/tex] meter
2) [tex]\frac{35}{40}[/tex] meter
3) [tex]\frac{35}{20}[/tex] meter
4) [tex]\frac{35}{40}[/tex] meter

Answer :

Final answer:

The total length of the trench Eli dug is the sum of two fractions, 18/20 and 17/20, which equals 35/20 meters. None of the provided options match this total, but the closest reasonable estimate given is 35/20 meters.

Explanation:

The student is asking about finding the total length of a trench by adding two fractions together. Eli dug a trench 18/20 of a meter long on the first day and 17/20 of a meter long on the second day. To find the total length, we simply add these two fractions together:

18/20 + 17/20 = (18 + 17)/20 = 35/20 meters.

After simplifying, we see that 35/20 is the same as 1 and 15/20, or 1 and 3/4 meters when further simplified. Therefore, the closest reasonable estimate from the given options is 35/20 meters. It's important to note that the other provided options are not equivalent to 35/20 meters.