If the numerator of a fraction is increased by 2 and denominator is
decreased by 1, it becomes 2/3. If the numerator is increased by 1 and
the denominator is increased by 2 ,
it becomes 1/3 {. Find the fraction. [4]
Answers
Answered by
1
Answer:
Let denominator = x ,
numerator = ( x - 3 )
Original number = ( x - 3 )/x ---( 1 )
If the numerator and denominator are
both increased by 2 the new fraction = 6/7
( x - 3 + 2 )/ ( x + 2 ) = 6/7
( x - 1 )/( x + 2 ) = 6/7
7( x - 1 ) = 6( x + 2 )
7x - 7 = 6x + 12
7x - 6x = 12 + 7
x = 19
Therefore ,
Original number = ( x - 3 )/x
= ( 19 - 3 )/19
= 16/19
I hope this helps you.
: )
Step-by-step explanation:
Similar questions