Eduando owned 6/7 of a family business. he sold 1/5 of the business to his son. What portion of the business does he still own?
he still owns (4/5)(6/7) of the business
= ....
To find out what portion of the business Eduando still owns after selling 1/5 to his son, we need to subtract 1/5 from the original ownership of 6/7.
First, let's represent the original ownership of the business as a fraction: 6/7.
To calculate the portion of the business that Eduando sold to his son, we now need to multiply 6/7 by 1/5: (6/7) * (1/5).
This can be done by multiplying the numerators (6 * 1) and the denominators (7 * 5) to get the result: 6/35.
We now subtract the portion of the business (6/35) that was sold to the son from the original ownership (6/7) as follows: (6/7) - (6/35).
To subtract fractions, we must find a common denominator, which in this case is 35. We need to convert both fractions to have a denominator of 35.
For the first fraction (6/7), we multiply the numerator and denominator by 5: (6/7) * (5/5) = 30/35.
For the second fraction (6/35), we multiply the numerator and denominator by 7: (6/35) * (7/7) = 42/35.
Now we can subtract the fractions: (30/35) - (42/35) = -12/35.
The resulting fraction, -12/35, represents the portion of the business that Eduando still owns.
Therefore, after selling 1/5 of the business to his son, Eduando still owns -12/35 or approximately -0.343 of the business.