Since the multiplicative inverse of a fraction p/q is the fraction that swaps its numerator and denominator, i.e. q/p, we have that the inverse of 2/3 is 3/2.

So, if we multiply both sides of the equation by 3/2, we have

$\dfrac{3}{2}\cdot\dfrac{2}{3}a=16\cdot\dfrac{3}{2}$

3/2 and 2/3 are multiplicative inverse of each other, and by definition this means that they give 1 when multiplied:

$\dfrac{3}{2}\cdot\dfrac{2}{3}a=1\cdot a=a=16\cdot\dfrac{3}{2}$

On the right hand side, we have

$16\cdot\dfrac{3}{2}=8\cdot 3=24$

And so the solution is $a=24$

4 0

3 years ago

What ratio is equivalent to 1.5:6

yawa3891 [41]

Answer:

2:10:12

Step-by-step explanation:

I multiplied all of the numbers by 2

It doesn't matter what number you multiply the numbers by, as long as you multiply all 3 of them.

5 0

2 years ago