Hiya! So instead of the word "what", I am going to use 't' as the missing term in this equation
So basically, 14= t x 2/3
1. As you would do with any type of solve-for-x equation, you have to divide 2/3 on both sides of the equation.
To divide a by a fraction, you must turn it into a reciprocal: <span>"a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity." (via Google definition) Trust me, it's not as hard as it looks.
To turn the fraction into a reciprocal, you have to flip the numerator and denomonater.
2 = numerator - 3 = denominator
When you flip it, you get:
3 - 2
If you are still confused, look at this: https://www.mathsisfun.com/reciprocal-fraction.html
2. As simple as that. After you turn the fraction into a reciprocal, you must multiply that fraction.
Multiply 3/2 by 14.
3 14 42 - x - = - = 21 2 1 2
21 = t x 2/3
Since to have to multiply on both sides, you have to divide 2/3 by 3/2 which cancels itself out.
21 = t x 2/3 divide by 2/3
It poofs out of existance.
Dont ask why.
So now we are left with: t = 21
That is the answer. Viola!
To check your work, fill in the 't' value with 21 into the orginal problem!
14 = t x 2/3
14 = (21) x 2/3
(You are not dividing the fraction anymore so there is not need to create the reciprocal)
In the end, 14 = 14, which proves the problem to be correct. Hope this helped, if you have any questions just ask in the comments!</span>
