×

#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# If 1/3 be added to the numerator of a certain fraction, the fraction is increased by 1/15 and if ¼ be taken from the denominator the fraction becomes 8/19 find the fraction.

2 years ago

Arun
24742 Points

Dear student

Let the fraction is x/y
Now
[x+(1/3)]/y = x/y + 1/15
(3x +1)/3y = (15 x + y)/15
45x +15 = 45 xy + 3y²

x/(y-1/4) = 8/19
4x/(4y-1) = 8/19
76 x = 32y -8
19x = 8y -2

Now you can solve it

Regards
2 years ago
Meet
137 Points
There is mistake in above in first it as [x+1/3]/y= x/y + 1/15 and it can be further simplified as y=5 and the other equation is x/(y-0.25)=8/19 then by this  equation we get 38=19x then x=2 so therefore 2/5 is the fraction.

2 years ago
Meet
137 Points
Ghere is mistake in answer of arun ...................................................................................................,,,,,,,,,,,,

2 years ago
Rewa
20 Points
It can be solved by more simpler way....(X+1/3)= X+ 1    Y         Y  15   ..    .  X +(1/3) = X + 1        Y      Y        Y   15   ..    .  (1/3) = 1           Y    15 Gives 15/3 = Y  Thus,   Y= 5      X       =  8(Y-1/4)       19 ........ CONDITION ÍÍ       Substituting value of Y in equation,we get,         X.    = 8     -------   -------  (5-1/4).  19=.   X.    =.  8    -------    -----   19/4.      19= 4X.     =. 8--------       ----  19.         19   ..    .   4X = 8           X = 2 The required fraction = X = 2                                         -----  ---                                           Y.    5Tally IT!

2 years ago
Rewa
20 Points
(X+1/3 )/ Y = X/Y + 1/15....X/Y + (1/3)/Y = X/Y + 1/15 (splitting terms)..(1/3)/Y = 1/15(elimination of common trm)Y=15/3 = 5 ........X/(Y-1/4) = 8/19.....X/(5-1/4) = 8/19....(substituting Y)X/(19/4) = 8/19....X= 2Required fraction= 2/5

2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions