Question

A box of nails contains 985 nails; 415 of these are 6-inch nails, 375 are 3-inch nails, and the rest are roofing nails. What is the fraction of roofing nails in decimal form?

a) 195/985
b) 570/985
c) 415/985
d) 375/985

Answer 1

The fraction of roofing nails in decimal form is 195/985.

Step-by-step explanation:

To find the fraction of roofing nails in decimal form, we need to subtract the number of 6-inch nails and 3-inch nails from the total number of nails in the box. The rest of the nails will be the roofing nails.

Given:

• Total number of nails = 985
• Number of 6-inch nails = 415
• Number of 3-inch nails = 375

To find the number of roofing nails:

1. Subtract the number of 6-inch nails and 3-inch nails from the total number of nails: 985 - 415 - 375 = 195
2. So, the fraction of roofing nails is 195/985.

Therefore, the correct answer is a) 195/985.