Question

If 1 mile equals 1,760 yards, then how many miles are in 12,144 yards?

Answer 1

6.9 miles

Step-by-step explanation:

We can represent the amount of yards in a mile as a ratio (of 1 : 1).

1 mile : 1,760 yards

To answer this question, we have to manipulate the above ratio into a form that yields some amount of miles when multiplied by 12,144 yards.

`\frac{1 \textrm{ mile}}{1,760 \textrm{ yards}}`

Finally, we simply have to multiply that form by 12,144 yards.

`12,144 \textrm{ yards} * \frac{1 \textrm{ mile}}{1,760 \textrm{ yards}}`

`= (12,144)/(1,760) \textrm{ miles}`

`= 6.9 \textrm{ miles}`