Question

Find the value of..

m/n - l/m ÷ a/m - b/n
​

Answer 1

Answer:

$\huge\tt\implies \: \frac{ {m}^{2} - nl }{an - bm} \: \: \bigstar$

Step-by-step explanation:

$\huge \bigstar \huge\bf\frac{\frac{m}{n} - \frac{l}{m} }{ \frac{a}{m} - \frac{b}{n} } \: \: \: \bigstar \\ \\ \large\tt\implies \frac{ \frac{ {m}^{2} - nl}{ \cancel{nm} }}{ \frac{an - bm}{ \cancel{mn}} } \\ \\ \large \tt\implies \: \frac{ {m}^{2} - nl }{an - bm}$

Answer 2

Answer:

$\frac{m^2 - ln }{an - bm}$

Step-by-step explanation:

Start with

Numerator: $\frac{m}{n}$ - $\frac{l}{m}$ = $\frac{m^2 - ln}{mn}$ ,

then

Denominator: $\frac{a}{m}$ - $\frac{b}{n}$ = $\frac{an - bm}{mn}$ .

Let put together both expressions "as a fraction/quotient:

$\frac{m^2 - ln}{mn}$ ÷ $\frac{an - bm}{mn}$ = $\frac{m^2 - ln}{mn}$ × $\frac{mn}{an-bm}$ = $\frac{m^2 - ln }{an - bm}$