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Sagot :
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.
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.
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.
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