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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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.
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