Question

When a fraction is divided by the difference of }1/3 and 1/9 we get3/4What is the fraction?​

Answer 1

Answer:

The fraction is 1/6

Step-by-step explanation:

Let the fraction be x.

first take the subtraction part

then, 1/3-1/9= 2/9

Now,

x divided by 2/9 = 3/4

(3/4 is the value given in question)

transferring division of 2/9 to R. H. S.

we get

x = 3/4 * 2/9

after simplifying we get

x = 1/6

Answer 2

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Let the fraction = X

LCM of 3 & 9 is 9

$difference = \frac{1}{3} - \frac{1}{9} \\ \frac{3 - 1}{9} \\ = \frac{2}{9} \\ \\ \frac{x}{ \frac{2}{9} } = \frac{3}{4} \\ \frac{9x}{2} = \frac{3}{4} \\ x = \frac{6}{36} \\ x = \frac{1}{6}$

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