The denominator of a fraction is greater than the numerator by 4. If both the denominator and numerator are increased by 5, the new fraction is 2/3. Find the original fraction.
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Answer:
3/7
Step-by-step explanation:
Given:-
the denominator of a fraction is greater than the numerator by 4 .if both the denominator and numerator are increased by 5, the new fraction is 2/3.
To find:-
find the original fraction
Solution:-
Let the numerator be X
then, The denominator=X+4
if both the denominator and numerator are increased by 5, the new fraction is 2/3
=>(X+5)/(X+4+5)=2/3
=>(X+5)/(X+9)=2/3
applying cross multiplication then
=>3(X+5)=2(x+9)
=>3X+15=2X+18
=>3X-2X=18-15
=>X=3
=>X+4=3+4=7
Answer:-
The numerator =3
The denominator=7
The original fraction =3/7
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