Question

the numerator of a given fraction is 4 less than its denominator if 3 is subtracted from the numerator and 5 is added to the denominator then the fraction becomes 1 upon 4 what is the fraction​

Answer 1

Answer:

The fraction​ is $\frac{7}{11}$

Step-by-step explanation:

Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be $\frac{a}{b}$

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

So,             $a=b-4$

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

                          $\frac{a-3}{b+5} =\frac{1}{4} \\ \\ 4(a-3)=1(b+5)4a-12=b+54a-b=174(b-4)-b=17 4b-16-b=173b=17+163b=33\\ b=11$

Now putting b=4 in the above equations,

                 $a=b-4\\ \\ a=11-4=7$

The fraction be $\frac{a}{b} =\frac{7}{11}$