Tina owned 4/5 of the family business. She sold 1/2 of the business to her son. What portion of the business does she still own?
2/5
4/5 - 1/2
Find a common denominator and solve.
Problem
0 4 - 0 1 5 2 10 is the common denominator for the fractions.4 * 2 + 1 * 5 5 2 2 5 Now the fractions have the same denominators and the numerators can be subtracted.8 - 5 10 10 Subtract the numerators.3 10
Subtract 5 7/10 minus 3 14/15
4/5 - 1/2
common denominator is the number where they can both divide into equally, for this one, it would be 10. (5 x 2 = 10) (2 x 5 = 10), once you find a common denominator (preferably the lowest common multiple) you must multiply the denominator (with the number to create the common denominator)and the numerator (by the same number multiplied by the denominator). Therefore
4(x2)/5(x) - 1(x5)/2(x5) =
8/10 - 5/10
= 3/10
(Note: Do not subtract the denominator, ONLY the numerator)
To determine the portion of the business Tina still owns, we need to subtract the portion she sold to her son from the portion she originally owned.
Tina owned 4/5 of the business. To find the portion she sold, we need to multiply 4/5 by 1/2:
4/5 * 1/2 = 4/10 = 2/5
Therefore, Tina sold 2/5 of the business to her son. To find the portion she still owns, we subtract 2/5 from 4/5:
4/5 - 2/5 = 2/5
Tina still owns 2/5 of the family business.