Question

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

Answer 1

Step-by-step explanation:

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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