Question

At the start of summer, Little Crater Lake 1 1/4 inches below normal. By the end of summer, it had decreased an additional 2 3/8 inches. What is it's new level?

Answer 1

The new level is
`3 (5)/(8)` inches.

Explanation:

Given: At the start of summer, Little Crater Lake is
`1 (1)/(4)` inches below normal. By the end of summer, it had decreased an additional
`2 (3)/(8)` inches.

To find: What is it's new level?

Solution:

We have,

At the start of summer, Little Crater Lake is
`1 (1)/(4)` inches below normal.

So, at the start of the summer, Little Crater Lake is
`(5)/(4)` inches below normal.

By the end of summer, it had decreased an additional
`2 (3)/(8)` inches.

So, by the end of summer, it had decreased an additional
`(19)/(8)` inches.

Now, the new level is
`(5)/(4) +(19)/(8) =(10+19)/(8)=(29)/(8) =3 (5)/(8)` inches.

Hence, the new level is
`3 (5)/(8)` inches.