Question

Find the ratio of 6 inches to 2 feet (1 foot = 12 inches, reduced to simplest form.

Answer 1

Your correct answer choice is 1/4

Answer 2

The answer is the first option: 1/4

Explanation:

The ratio between two numbers refers to a division between these two numbers.

The first number mentioned goes in the numerator and the second number mentioned goes in the denominator.

For the exercise, when the ratio of 6 inches to 2 feet is asked, it means that the division must be
`(6\, inches)/(2\, feet)`.

Now, take into account that these two numbers must be in the same units. As the denominator is in feet, it must be converted to inches. The problem says that
`1\, foot = 12\, inches`. If we multiply by 2 in both sides we obtain the equivalences of 2 feet in inches.

`2\, feet=24\, inches`

Finally, we replace 2 feet by 24 inches to find the ratio:

`ratio=(6\, inches)/(2\, feet)=(6\, inches)/(24\, inches)`

`ratio=(1)/(4)`

Thus, after performing the division 6/24 the solution in the simplest form is the first option: 1/4