Question

Rohit spent 2/5 of his pocket money on a science fiction book,1/6 on a newspaper, and 2/15 on recreation. What fraction of his pocket money is left??


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Answer 1

Step-by-step explanation:

Let Rohit's pocket money be x.

Now, 2/5 of x is spent on science fiction book

1/6 of x is spent on newspaper

2/15 of x is spent on recreation

Let the fraction of remaining pocket money be a/b.

Then,

2/5x+ 1/16x+ 2/15x+ a/bx= x

96x + 15x + 32x + a/bx =x

240

143x + a/bx = x

240

a/bx = x- 143x

240

a/bx = 97x

240

Hence,the fraction of remaining pocket money is 97/240.