In a shipment of new books for a library. of the books were poetry and were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

A
B
C
D

Ask by Simpson Matthews. in the United States

Mar 26,2025

Question

In a shipment of new books for a library. of the books were poetry and were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

A
B
C
D

Ask by Simpson Matthews. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

1. Let the fraction of books that are mysteries be $$x$$. From the problem, we have:
   $$
   x = 1 - \left(\frac{5}{12} + \frac{2}{5}\right)
   $$

2. Find a common denominator for $$\frac{5}{12}$$ and $$\frac{2}{5}$$. The least common denominator of 12 and 5 is 60. Rewrite the fractions:
   $$
   \frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60}
   $$
   $$
   \frac{2}{5} = \frac{2 \times 12}{5 \times 12} = \frac{24}{60}
   $$

3. Add the fractions:
   $$
   \frac{25}{60} + \frac{24}{60} = \frac{49}{60}
   $$

4. Subtract the sum from 1 to get the fraction of mysteries:
   $$
   x = 1 - \frac{49}{60} = \frac{60}{60} - \frac{49}{60} = \frac{11}{60}
   $$

5. Thus, the fraction of books that are mysteries is:
   $$
   \frac{11}{60}
   $$
The fraction of books that are mysteries is $$ \frac{11}{60} $$.

In a shipment of new books for a library. of the books were poetry and were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

A
B
C
D

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In a shipment of new books for a library. of the books were poetry and were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

A
B
C
D