1/3+7/4:3/2

To add fractions, you need to have a common denominator. In this case, the common denominator is 4.

1/3 can be written as 4/12, because multiplying the denominator (3) by 4 gives us 12.

7/4 can be written as 21/12, because multiplying the denominator (4) by 3 gives us 12.

Now we can add the fractions:

4/12 + 21/12 = (4 + 21)/12 = 25/12.

To divide one fraction by another, you need to multiply the first fraction by the reciprocal (or inverse) of the second fraction.

So, to divide 25/12 by 3/2, we can multiply 25/12 by 2/3:

(25/12) * (2/3) = (25 * 2)/(12 * 3) = 50/36.

We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:

50/36 = (50/2)/(36/2) = 25/18.

Therefore, the final answer is 25/18.