Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two 

 

and 3/7 mile on day three,,

 

 

                

 

 

                                how many total miles does the athlete swim in the given week

 

Sagot :

TacoGod
We'll have to add up all the fractions. 
First, find the LCM of the denominators.
To do this, we'll use the listing method. 

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, all the way to 140.
5: 5, 10, 15, 20, 25, 30, 35, all the way to 140.
7: 7, 14, 21, 28, 35, 42, 49, all the way to 140.

So, 140 is the Least Common Multiple. 

Multiply the numerator of 1 as many times you multiplied 4 to get to 140, which is 35.
1 x 35 = 35.

Multiply the numerator of 2 as many times you multiplied 5 to get to 140, which is 28.
2 x 28 = 56

Multiply the numerator of 3 as many times you multiplied 7 to get to 140, which is 20.
3 x 20 = 60.

So: 35/140 + 56/140 + 60/140 
=35/140 + 116/140 
=151/140
=1 11/140

So, the swimmer swam 1 and 11/140th of a mile.
sadlife21

Step-by-step explanation:

We’ll have to add up all the fractions.  

First, find the LCM of the denominators.

To do this, we’ll use the listing method.  

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, all the way to 140.

5: 5, 10, 15, 20, 25, 30, 35, all the way to 140.

7: 7, 14, 21, 28, 35, 42, 49, all the way to 140.

So, 140 is the Least Common Multiple.  

Multiply the numerator of 1 as many times you multiplied 4 to get to 140, which is 35.

1 x 35 = 35.

Multiply the numerator of 2 as many times you multiplied 5 to get to 140, which is 28.

2 x 28 = 56

Multiply the numerator of 3 as many times you multiplied 7 to get to 140, which is 20.

3 x 20 = 60.

So: 35/140 + 56/140 + 60/140  

=35/140 + 116/140  

=151/140

=1 11/140

So, the swimmer swam 1 and 11/140th of a mile.

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.