Question 383500
-7yt/3x=?/18xyt

it helps to separate what is being multiplied by each other by *.


it also helps to surround operations that are going to be performed together by parentheses.


your formula becomes:


(-7*y*t) / (3*x) = ? / (18*x*y*t)


multiply both sides of this equation by (18*x*y*t)


you get:

(18*x*y*t) * ((-7*y*t) / (3*x)) = ?


since a * (b/c) = (a*b) / c, then your expression above is equivalent to:


((18*x*y*t) * (-7*y*t)) / (3*x) = ?


(18*x*y*t) * (-7*y*t) is equal to (-126 * x * y^2 * t^2)


this is because 18 * -7 = -126 and y * y = y^2 and t * t = t^2.


(-126 * x * y^2 * t^3) / (3 * x) is equal to (-42 * y^2 * t^2)


this is because -126/3 = -42 and x/x = 1 which is not shown but implied.


your answer should be ? = (-42 * y^2 * t^2)


you can confirm it by assigning values to each of the variables at random and seeing if the final expression is true after simplification.


Assume x = 2, y = 3, t = 4


your original expression of (-7*y*t) / (3*x) = ? / (18*x*y*t) becomes (-7*y*t) / (3*x) = (-42 * y^2 * t^2) / (18*x*y*t) which becomes (-7*3*4) / (3*2) = (-42 * 3^2 * 4^2) / (18*2*3*4)


this resolves to -84/6 = -6048 / 432 which resolves finally to -14 = -14 confirming that we did the calculations correctly.