Question

Marisol’s bus ride home after work is 2 5/8 miles long. After she gets off the bus, Marisol walks 1/2 of a mile to her home. How far does Marisol live from work?

A) 1 1/4 miles
B) 1 3/8 miles
C) 1 5/8 miles
D) 2 1/8 miles

Answer 1

Marisol lives 3 1/8 miles from work. We calculated this by adding her bus ride of 2 5/8 miles and her walk of 1/2 mile together, after converting them to improper fractions for easier addition.

Step-by-step explanation:

The question asks us to calculate the total distance Marisol lives from work, factoring in her bus ride and the walk to her home. Marisol's bus journey is 2 5/8 miles and after getting off the bus, she walks an additional 1/2 mile. To find the total distance, we simply add these two figures together:

• 2 5/8 miles (bus ride)
• + 1/2 mile (walking)

First, we need to convert the mixed number to an improper fraction to make it easier to add. 2 5/8 miles is the same as (2×8 + 5)/8 = 21/8 miles. Now, we can add it to the 1/2 mile, which is the same as 4/8 miles:

• 21/8 miles
• + 4/8 miles

Adding these two fractions, we get:

• 21/8 miles + 4/8 miles = 25/8 miles

We then convert 25/8 back to a mixed number:

• 25/8 miles = 3 1/8 miles

So, Marisol lives 3 1/8 miles from work.