7/4(8h+3)

To simplify the expression 7/4(8h+3), we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we simplify the expression inside the parentheses:
8h + 3

Next, we multiply 7/4 by the simplified expression:
(7/4)(8h + 3)

To distribute the 7/4 to both terms inside the parentheses:
(7/4)(8h) + (7/4)(3)

This simplifies to:
(56h/4) + (21/4)

To further simplify, we can add the fractions with a common denominator of 4:
(56h + 21)/4

Therefore, the simplified expression is (56h + 21)/4.