-7yt/3x=? /18xyt
Build each rational expression into an equivalent rational expression with the indicated denominator.
multlipy both sides by 18xyt
-7*18 xy^2 t^2 /3x=?
-7*6y^2 t^2=?
check my thinking. You might want to change the 7*6 to 42
To build each rational expression into an equivalent expression with the indicated denominator, we need to find the least common denominator (LCD). The LCD is the smallest multiple of all the denominators involved.
In this case, the indicated denominator of the first rational expression is 18xyt.
To find the LCD, we need to determine the prime factors of each denominator and take the highest power of each factor that appears in any denominator.
For the first rational expression, the denominator is already in prime factor form as 18xyt.
For the second rational expression, the denominator is also already in prime factor form as 18xyt.
Thus, the LCD is also 18xyt.
To convert the first rational expression into an equivalent expression with denominator 18xyt, we need to multiply both the numerator and denominator of the expression by the appropriate factors to make the denominator 18xyt.
-7yt/3x * (6xt/6xt) = (-7yt * 6xt) / (3x * 6xt) = -42xyt^2 / 18x^2yt
Therefore, the equivalent rational expression with denominator 18xyt for the first expression is -42xyt^2 / 18x^2yt.