what is the answer of add 2/3 and the reciprocal of 4/5

2/3 + 5/4 = 8/12+15/12 = 23/12

4/5

To find the sum of 2/3 and the reciprocal of 4/5, we first need to find the reciprocal of 4/5.

The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, the reciprocal of 4/5 is 5/4.

To add 2/3 and 5/4, we need to find a common denominator. The least common multiple (LCM) of 3 and 4 is 12, so we can convert both fractions to have a denominator of 12.

To convert 2/3 to have a denominator of 12, we multiply the numerator and denominator by 4: (2/3) * (4/4) = 8/12.

To convert 5/4 to have a denominator of 12, we multiply the numerator and denominator by 3: (5/4) * (3/3) = 15/12.

Now that both fractions have a denominator of 12, we can add them together: 8/12 + 15/12 = (8 + 15) / 12 = 23/12.

Therefore, the sum of 2/3 and the reciprocal of 4/5 is 23/12.

For the following values of a, b and c, verify that (a×b)×c=a×(b×c).