Respuesta :

Answer:

148/15 or 9 13/15

Step-by-step explanation:

7 2/3 + 2 1/5

7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.

7 2/3 = 23/3

The same goes for 2 1/5.

2 1/5 = 11/5

Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.

23/3 + 11/5

23/3 x 5/5 = 115/15

11/5 x 3/3 = 33/15

115/15 + 33/15 = 148/15

The value of 7 2/3 + 2 1/5 is 9 13/15

The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:

= 7 2/3 + 2 1/5

= [7 + 2/3× 15] + [2 1/5 × 15]

= 7 10/15 + 2 3/15

= 9 13/15

In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15

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