Question

Cassie has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide, and a row of 7 stamps fits perfectly across it. How wide is each stamp? Write your answer as a proper fraction or mixed number.

Answer 1

Each stamp in Cassie's collection is
`\((13)/(7)\)` inches wide, considering the frame's total width of 6 inches accommodating a row of 7 stamps.

To find the width of each stamp, you can divide the total width of the row of stamps by the number of stamps in the row.

Total width of stamps + frame = Total width of row

`\[ \text{Total width of row} = 6 \, \text{inches} + 7 \, \text{stamps} \]`

Since the stamps fit perfectly across the frame, the total width is evenly distributed among the stamps. Now, find the width of each stamp:

`\[ \text{Width of each stamp} = \frac{\text{Total width of row}}{\text{Number of stamps}} \]`

`\[ \text{Width of each stamp} = \frac{6 \, \text{inches} + 7 \, \text{stamps}}{7 \, \text{stamps}} \]`

`\[ \text{Width of each stamp} = (6 + 7)/(7) \, \text{inches} \]`

`\[ \text{Width of each stamp} = (13)/(7) \, \text{inches} \]`

So, each stamp is
`\((13)/(7)\)` inches wide.