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2 votes
Maggie and her friend visit a beach that has a shoreline 2 2/5 kilometers long. They walk along 2/3 of it. How many kilometers of the beach shoreline do they walk?

User RoberMP
by
6.8k points

2 Answers

6 votes

Final answer:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along. Maggie and her friend walk 8/5 kilometers of the beach shoreline.

Step-by-step explanation:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along.

First, we need to convert the mixed number 2 2/5 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (5) and adding the result to the numerator (2), then putting the new numerator over the denominator. So, 2 2/5 is equal to (2 * 5 + 2) / 5 = 12/5.

Next, we can multiply the length of the shoreline (2 2/5) by the fraction they walk along (2/3). Multiply the whole number and numerator separately, then add the products and put the result over the denominator.

So, (12/5) * (2/3) = (12 * 2) / (5 * 3) = 24/15 = 8/5.

Maggie and her friend walk 8/5 kilometers of the beach shoreline.

User Dschoni
by
6.7k points
1 vote
Simply put, this question is asking "What is 2/3 of 2 2/5 ?".

If we want to find 2/3 of 2 2/5, we can multiply the fractions together.


(2)/(3) * 2 (2)/(5)

=
(24)/(15)

=
(8)/(5)

=
1 (3)/(5)

This means that Maggie and her friend have walked
1 (3)/(5) kilometers of the beach shoreline.
User Bing Hsu
by
6.6k points
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