Question

What is the solution of the proportion? 14/12 = D/48 a. 56 b. 672 c. 168 d. 576

Answer 1

So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!

Answer 2

$\frac{14}{12} = \frac{D}{48}$

There is a method of solving proportions/ratios known as "Cross-Multiplying."

When $\frac{a}{b} = \frac{c}{d}$
$ad=bc$ where the numbers diagonal from each other are multiplied together
(when you draw lines between the numbers you multiply, you get a "cross" or "X" shape)

Cross multiply
$(14)(48)=(12)(D)$

Simplify
$672=12D$
$\frac{672}{12} = \frac{12D}{12}$
$56=D$

The answer is A. 56