Question

if m/n=4/3 and r/t=9/14 then the value of 3mr-nt/4nr-7mr​

Answer 1

$\frac{ - 11}{24}$

Step-by-step explanation:

$Given, \: \: \frac{m}{n} = \frac{4}{3} \: \: \: and \: \: \: \frac{r}{t} = \frac{9}{14} \\ Let, \: \: m = 4x, \: n = 3x, \: r = 9y \: \: and \: \: t = 14y \\ Now, \: \: \: \frac{3mr - nt}{4nr - 7mr} \\ = \frac{3 \times 4x \times 9y - 3x \times 14y}{4 \times 3x \times 9y - 7 \times 4x \times 9y} \\ = \frac{108xy - 42xy}{108xy - 252xy} \\ = \frac{66xy}{ - 144xy} \\ = \frac{66}{ - 144} \\ = \boxed{\frac{ - 11}{24} }$