Answer:
Original fraction is 12/48
Step-by-step explanation:
The original fraction is 12/48 which is equivalent to 1/4
If three is added to the numerator and subtracted from the denominator;
we get; (12+3)/(48-3) = 15/45,
15/45 is equivalent to 1/3
Answer: [tex]\frac{12}{48}[/tex]
Step-by-step explanation:
You know that the ratio of the numerator to the denominator of the fraction is 1:4. This can be written as [tex]\frac{1}{4}[/tex]. Then you can write the following expression
[tex]\frac{n}{4n}=\frac{1}{4}[/tex]
Where the denumerator is 4 times the numerator.
You also know that if you add three to the numerator and subtracted from the denominator, the new fraction reduces to [tex]\frac{1}{3}[/tex]:
[tex]\frac{n+3}{4n-3}=\frac{1}{3}[/tex]
Then, you must solve for n, as following:
\[tex]\frac{n+3}{4n-3}=\frac{1}{3}\\\\3(n+3)=4n-3\\3n+9=4n-3\\n=12[/tex]
Then the denominator is:
[tex]d=4n\\d=4(12)\\d=48[/tex]
The original fraction is:
[tex]\frac{12}{48}[/tex]
