Write an expression that is equivalent to three over four(5z + 16).a: 15 over fourz + 16b: 15 over fourz + 12c: three over fourz + 16d: three over fourz + 12

Your expression looks like this:  .  The mathematical operation indicated by that is multiplication.  We will distribute the 3/4 into the 5z by multiplication.  If it's easier, think of the problem like this:  .  When you multiply fractions you don't need a common denominator.  You just multiply straight across the top and straight across the bottom.  3 times 5z is 15, and 4 times 1 is 4 so that comes to .  And 3 times 16 is 48, and 4 times 1 is 4, and 48/4 is 12.   So the final simplified expression is .  Your answer is B.