Moses added two thirds of a number and one fifths of the same number to get a result of 39. What is the number?

45

Step-by-step explanation:

Let the number be X.

So 2/3 of a number would be (2/3)x and 1/5 of the same number would be (1/5)x.  Therefore, (2/3)x+(1/5)x=39.  Next, you combine like terms by converting the fractions: (10/15)x+(3/15)x=39.  Now, you add the fractions.  (13/15)x=39.  Lastly you divide both sides by 13/15 or multiply both sides by 15/13.  x=45.  That number would be 45.  

If you would like to check, you would do 2/3(45) or 90/3 which is 30 and do 1/5(45) or 45/5 which is 9.  30+9=39

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step-by-step explanation: