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choli [55]
3 years ago
15

14= what x 2/3 Pls help asp and try to including step by step how to solve. Thx

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0
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>
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