Question

Asha and Samuel have bookshelves of same size partly filled with books. Asha's shelf is 5/6th full and Samuel's shelf is 2/5th full. Whose bookshelf is more full? By what fraction?


Samuel's bookshelf is more full; by 13/30
Asha's bookshelf is more full; by 19/30
Asha's bookshelf is more full; by 13/30
Samuel's bookshelf is more full; by 19/30​

Answer 1

Step-by-step explanation:

$\frac{5}{6} - \frac{2}{5} = \frac{5 \times 5 - 6 \times 2}{6 \times 5} = \frac{25 - 12}{30} = \frac{13}{30}$

so acha bookshelf is more full by 13/30