a: \(MTC=36x^2y^2z^2\)
\(\dfrac{-7y}{12xz^2}=\dfrac{-7y\cdot3xy^2}{36x^2y^2z^2}=\dfrac{-21xy^3}{36x^2y^2z^2}\)
\(\dfrac{11z}{18x^2y}=\dfrac{11z\cdot2yz^2}{36x^2y^2z^2}=\dfrac{22yz^3}{36x^2y^2z^2}\)
\(\dfrac{5x}{6y^2z}=\dfrac{5x\cdot6x^2z}{36x^2y^2z^2}=\dfrac{30x^3z}{36x^2y^2z}\)
b: \(MTC=14x^2y^3z^3\)
\(\dfrac{6}{7xy^2z}=\dfrac{6\cdot2xyz^2}{14x^2y^3z^3}=\dfrac{12xyz^2}{14x^2y^3z^3}\)
\(\dfrac{11}{14x^2y^3z^3}=\dfrac{11}{14x^2y^3z^3}\)
c: \(MTC=18x^2y^3\)
\(\dfrac{2x+1}{6xy^3}=\dfrac{3x\cdot\left(2x+1\right)}{18x^2y^3}=\dfrac{6x^2+3x}{18x^2y^3}\)
\(\dfrac{3x}{9x^2y}=\dfrac{3x\cdot2\cdot y^2}{18x^2y^3}=\dfrac{6xy^2}{18x^2y^3}\)
d: \(MTC=12xy^2z^2\)
\(\dfrac{3}{4xy}=\dfrac{3\cdot3\cdot yz^2}{12xy^2z^2}=\dfrac{9yz^2}{12xy^2z^2}\)
\(\dfrac{5x}{2y^2z}=\dfrac{5x\cdot6\cdot x\cdot z}{12xy^2z^2}=\dfrac{30x^2z}{12xy^2z}\)
\(\dfrac{7}{6yz^2}=\dfrac{7\cdot2\cdot x\cdot y}{12xy^2z^2}=\dfrac{14xy}{12xy^2z^2}\)
