(-7yt)/(3x)=?/(18xyt)

Building up the denominator Build each rational expression into an equivalent rational expression with the indicated denominator.

Which is "the indicated denominator" ? If it is 18 xyt,

(-7yt)/(3x)= -42 y^2t^2/(18xyt)

To build up the denominator in the expression (-7yt)/(3x), we need to multiply both the numerator and the denominator by the missing factors to complete the denominator. In this case, the missing factors are 6yt.

Therefore, we can rewrite the expression as:

(-7yt * 6yt) / (3x * 6yt)

Simplifying the numerator and the denominator separately, we get:

-42y^2t^2 / 18xyt

Now, we can simplify further by canceling out the common factors:

- (42/18) * (y^2/y) * (t^2/t) * (1/x)

Reducing the fraction, we have:

- (7/3) * y, where * represents multiplication.

So, the expression (-7yt)/(3x) is equivalent to (-7/3) * y.