Question

9. Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is
5
3
full and Samuel's shelf is full. Whose bookshelf is more full and by what fraction?
5
6 ​

Answer 1

Answer:

Asha's shelf = \frac{5}{6}

6

5

Samuels's shelf = \frac{2}{5}

5

2

Difference = \frac{5}{6}-\frac{2}{5}=\frac{\left(5\times5\right)-\left(2\times6\right)}{30}=\frac{25-12}{30}=\frac{13}{30}

6

5

−

5

2

=

30

(5×5)−(2×6)

=

30

25−12

=

30

13

Hence, Asha's bookshelf is more full by \frac{13}{30}

30

13

.

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