Question

$5\frac{1}{m} \times n \frac{3}{4} = 20$
find the value of m and n respectively
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Answer 1

Answer:

$m = \frac{1}{5}$, $n = 1\frac{1}{4}$

or $m = -1$, $n = 4\frac{1}{4}$

Step-by-step explanation:

20 = 5 x 2 x 2

$5\frac{1}{m}$  

$=5 + \frac{1}{m}$

Let's try 5 x 2 = 10 for this expression:

$5 + \frac{1}{m} = 10$

=>$\frac{1}{m} = 10 - 5 = 5$

∴ $m = \frac{1}{5}$

According to the factors of 20:

$n\frac{3}{4} = 2$

$=> n + \frac{3}{4} = 2$

∴ $n = 2 - \frac{3}{4} = \frac{5}{4} =1\frac{1}{4}$

Alternatively, If we take:

$5 + \frac{1}{m} = 4$

then, $\frac{1}{m} = 4 - 5 = -1$

∴ $m = -1$

In this case:

$n + \frac{3}{4} = 5$

$=> n = 5 - \frac{3}{4} = 4\frac{1}{4}$