Question

Biết \(\frac{t}{x}=\frac{4}{3};\frac{y}{z}=\frac{3}{2};\frac{z}{x}=\frac{1}{6}\)vậy \(\frac{t}{y}\)=?

Answer 1

\(\frac{t}{x}=\frac{4}{3}\Rightarrow t=\frac{4x}{3}\)

\(\frac{y}{z}=\frac{3}{2}\Rightarrow y=\frac{3z}{2}\)

\(\frac{z}{x}=\frac{1}{6}\Rightarrow x=6z\)

Suy ra \(\frac{t}{y}=\frac{\frac{4x}{3}}{\frac{3z}{2}}=\frac{24z}{3}:\frac{3z}{2}=\frac{24z}{3}\cdot\frac{2}{3z}=\frac{16}{3}\)

Answer 2

y/z=3/2 <=> y=3z/2 (1) 
t/x=4/3 <=> t=4x/3 (2) 
từ (1) & (2) => t/y=(4x/3)/(3z/2)=8x/9z (*) 
mà z/x=1/6 <=> x/z=6 
Pt (*) => 8x/9z=16/3