Question

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

Answer 1

Your expression looks like this:  $\frac{3}{4}(5z+16)$.  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:  $\frac{3}{4}( \frac{5z}{1}+ \frac{16}{1})$.  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 $\frac{15}{4}z$.  And 3 times 16 is 48, and 4 times 1 is 4, and 48/4 is 12.   So the final simplified expression is $\frac{15}{4}z+12$.  Your answer is B.