Question
denominator of a fraction is 1 more than its numerator. the fraction reduces to one fourth when numerator is reduced by 2 and denominator is increased by 3. find the number
Answers
Reiny
Oriningal fraction ---- x/(x+1)
new result:
(x-2)/(x+4) = 1/4
cross-multiply
4x - 8 = x+4
3x = 12
x = 4
<b>original fraction ----- 4/5</b>
check:
new fraction :
(4-2)/(5+3) = 2/8
which is 1/4
new result:
(x-2)/(x+4) = 1/4
cross-multiply
4x - 8 = x+4
3x = 12
x = 4
<b>original fraction ----- 4/5</b>
check:
new fraction :
(4-2)/(5+3) = 2/8
which is 1/4