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Two students, Galen and Mai, worked on a project.
Galen worked for 3 2/3 hours.
Mai worked for 2 4/5 hours.
What was the total time spent on the project?
How much more time did Galen spend on the project than Mai?

Sagot :

Answer:

Mia worked 4/5 of an hour less than Galen.

or

Galen spent 4/5 of an hour more working on the project.

Step-by-step explanation:

First we have to find the LCM (Lowest Common Multiple) of 5 and 3 -

3: 3, 6, 9, 15, 18, 21, 24, 27, 30

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

We can see here, that the lowest common multiple is 15.

Now we need to convert the 2/3 and 4/5 into fractions that are equivalent to something fraction that has the denominator of 15.

2/3x5= 10/15

4/5x3= 12/15

So, now, the hours of work time of both Galen and Mia are having the same denominator, now, we can subtract.

3 10/15 - 2 12/15 = 12/15

Now, we understand that 12/15 was the amount of time Galen worked more than Mai. But, still, there is still more to do.

Suspense......

SIMPLIFY!!!

12/15 both come in 3's multiplication table.

12/15 divided by 3 = 4/5

Now, our final answer simplified is 4/5.

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